{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sparisfying a minimal Koopman invariant subspace from EDMD for a simple linear system\n",
    "\n",
    "In this tutorial, we will use the algorithm from [Pan-Arnold-Duraisamy, JFM, 2021](https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/sparsitypromoting-algorithms-for-the-discovery-of-informative-koopmaninvariant-subspaces/F52F03ED181023369A661EF09B57281A) to learn a sparse Koopman invariant subspace from the EDMD of the\n",
    "following two-dimensional, linear system (example from [Rowley, Williams & Kevrekidis,\n",
    " _\"IPAM MTWS4\"_, 2014](http://helper.ipam.ucla.edu/publications/mtws4/mtws4_12328.pdf)):\n",
    "\n",
    "$$\n",
    "{\\bf x}_{k+1} = \\begin{bmatrix} 0.8 & -0.05\\\\ 0 & 0.7\\end{bmatrix}{\\bf x}_k,\n",
    "$$\n",
    "where ${\\bf x} = [x, y]^T$. Polynomial functions $x^iy^j$ with $i,j\\in [0,3]$ up to\n",
    "order 3 are used as basis functions. The true eigenfunctions and eigenvalues can be\n",
    "approximated as follows:\n",
    "$$\n",
    "\\varphi_{ij}(x,y) \\approx (0.894x - 0.447y)^i y^j\\quad \\text{for}\\quad i,\n",
    "j\\in\\mathbb{N}\\\\\n",
    "\\lambda_{ij} = (0.8)^i(0.7)^j\n",
    "$$\n",
    "\n",
    "**Obviously, we only need linear observables to recover this**. But now let's assume we don't know a priori. Instead, we will use polynomial features up to third degrees. Then, the goal is to learn a **small** sparse (indeed linear) representation from a **large** space spanned by the polynomial observables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../src')"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pykoopman as pk\n",
    "from pykoopman.common import Linear2Ddynamics\n",
    "import scipy\n",
    "import numpy as np\n",
    "import numpy.random as rnd\n",
    "np.random.seed(42)  # for reproducibility\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Collect training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create instance of the dynamical system\n",
    "sys = Linear2Ddynamics()\n",
    "\n",
    "# Collect training data\n",
    "n_pts = 51\n",
    "n_int = 1\n",
    "xx, yy = np.meshgrid(np.linspace(-1, 1, n_pts), np.linspace(-1, 1, n_pts))\n",
    "x = np.vstack((xx.flatten(), yy.flatten()))\n",
    "n_traj = x.shape[1]\n",
    "\n",
    "X, Y = sys.collect_data(x, n_int, n_traj)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Approximate eigenfunctions and eigenvalues using EDMD and polynomial basis functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dimension of Koopman invariant subspace from EDMD = 10\n"
     ]
    }
   ],
   "source": [
    "regressor = pk.regression.EDMD()\n",
    "obsv = pk.observables.Polynomial(degree=3)\n",
    "model = pk.Koopman(observables=obsv, regressor=regressor)\n",
    "model.fit(X.T, y=Y.T)\n",
    "\n",
    "print(\"dimension of Koopman invariant subspace from EDMD = {}\".format(len(np.diag(model.lamda))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's consider sparse selecting our modes!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we need some trajectories that are not in the training data to help us quantatively measure a goodness of Koopman eigenmode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# first trajectory\n",
    "n_int_val = 41\n",
    "n_traj_val = 1\n",
    "xval = np.array([[-0.3], [-0.3]])\n",
    "xval_list = []\n",
    "for i in range(n_int_val):\n",
    "    xval_list.append(xval)\n",
    "    xval = sys.linear_map(xval)\n",
    "Xval1 = np.hstack(xval_list).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# second trajectory\n",
    "n_int_val = 17\n",
    "n_traj_val = 1\n",
    "xval = np.array([[-0.923], [0.59]])\n",
    "xval_list = []\n",
    "for i in range(n_int_val):\n",
    "    xval_list.append(xval)\n",
    "    xval = sys.linear_map(xval)\n",
    "Xval2 = np.hstack(xval_list).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_int_val = 23\n",
    "n_traj_val = 1\n",
    "xval = np.array([[-2.5], [1.99]])\n",
    "xval_list = []\n",
    "for i in range(n_int_val):\n",
    "    xval_list.append(xval)\n",
    "    xval = sys.linear_map(xval)\n",
    "Xval3 = np.hstack(xval_list).T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Good news: these validation trajectories can have arbitrarily different length"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "Text(0, 0.5, '$x_2$')"
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 400x400 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Xval = [Xval1, Xval2, Xval3]\n",
    "\n",
    "plt.figure(figsize=(4,4))\n",
    "plt.plot(Xval1[:,0],Xval1[:,1],'o-')\n",
    "plt.plot(Xval2[:,0],Xval2[:,1],'^-')\n",
    "plt.plot(Xval3[:,0],Xval3[:,1],'s-')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# assemble the trajectories data into a dictionary\n",
    "validate_data_traj = [{'t':np.arange(tmp.shape[0]), 'x':tmp} for tmp in Xval]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's import our modes selection algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pykoopman.analytics import ModesSelectionPAD21"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-------+--------------------------+------------------------+------------------------+\n",
      "| Index |        Eigenvalue        |           Q            |           R            |\n",
      "+-------+--------------------------+------------------------+------------------------+\n",
      "|   6   | (0.3430000000000002+0j)  | 2.0348468601727288e-14 |   0.5927787679220963   |\n",
      "|   5   |  (0.699999999999999+0j)  | 1.183399907725707e-13  |  0.12437196865123468   |\n",
      "|   2   | (0.5600000000000012+0j)  | 1.9861554523348586e-14 |  0.05334173545381721   |\n",
      "|   0   | (1.0000000000000009+0j)  | 2.094252168112938e-14  |  0.02972174696303384   |\n",
      "|   3   | (0.48999999999999977+0j) | 2.626657878737818e-14  |  0.01276284982813933   |\n",
      "|   4   |  (0.799999999999997+0j)  | 1.2125187573675874e-14 | 1.0390418230998807e-15 |\n",
      "|   8   | (0.4479999999999998+0j)  | 1.0779567706344939e-14 | 1.1514078032288685e-15 |\n",
      "|   7   |        (0.392+0j)        | 2.8990611938960905e-14 |  8.58500892936008e-15  |\n",
      "|   1   | (0.6400000000000008+0j)  | 2.7709699327154725e-14 | 2.7465177058838346e-15 |\n",
      "|   9   | (0.5120000000000001+0j)  | 1.7038660672921586e-13 | 7.455664344886189e-15  |\n",
      "+-------+--------------------------+------------------------+------------------------+\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 600x600 with 2 Axes>",
      "image/png": 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z3r36dvv2mdK0RUREBKdPn7bcPnfuHAcOHKBo0aJ4eXkREBBA//79adCgAb6+vgQGBhIZGWnZZZcbyK46OzPvqgsJCXnyjLFbt+ppucfZsgVatrSme0IIIR5y584dChcubLntiAXfSkHdunDwoL5tNEL9+vDXX/o7szWs+TzaunUrrVL5HOrfvz8LFy4EYM6cOUyfPp2rV6/i4+PD7NmzadSokXWdzIZkxCkruXLFvucJIYR4LHPQFB8fj7Ozs0N2yW3YkBg0ASQkOGbUqWXLlo8sgAwwbNgwhg0blkk9ynpkjVNWUqZM+s5bvRquXs3QrgghRG5j3oWW2ZSCN95IedzJCT78MOutdcrtJHDKSpo3B0/Px4/L/vILVKig1zuFhmZK14QQQmSM//4XQkJSHjeZEkedRNYhgVNW4uQEs2bpnx8OngwGfXn/fWjUCKKj9bkVK8LQoXDxYub3VwghhE2ioiAgIO37jUYZdcpqJHDKarp1gxUr4OGs456e+vgnn8CuXforSLNmEBMD8+ZB5cp6rPf8eYd0WwghxJMbNUoHT2lJSNCjUbGxmdcn8Wiyq87ObNpVl1R6MocrpXfiffSRvgZwdoZ+/XQSkEqVrG9fCCFEhkq68HvWLP1dODUlS+rvzk/Kbp9HIhkJnOzMYb+o27fDxx/Dxo36tpMT9Omjp/aqVs28fgghhHisGzegVi29z2fIEJg71/5tSOCUMWSqLqdo3lx/fdm5Ezp21CNWixdDjRo6gDp61NE9FEIIgZ4sGDhQB001asD06Y7ukXgSEjjlNE2awP/9H+zZA5076wnypUvB2xt69YLDhx3dQyGEyNW++05nlXFx0W/P+fI5ukfiSUjglFM1bAhr18I//8BLL+mvOL/8ArVrQ/fucOCAo3sohBC5zqlTurIWwOTJ4OPj0O4IK0jglNPVrasLAx86BD176pQGK1fq4y++CH//7egeCiFErhAXp1dO3L+vq2u9+66jeySsIYFTblGrFixbBkeOgJ+fTg6ydq0emXr+edi929E9FEKIHG3SJJ3QsnBhWLRIvw2L7Ef+23KbmjXhxx/1YvF+/fTuu//9T6+NatcOduxwdA+FECLH2bEDpk7VP//3v1C2rGP7I6wngVNuVa2a/spz/Di8/rrO/7Rxo96d17q1zgslmSqEEMJmd+9C3756r07//nrVhMi+JHDK7SpX1ls8Tp3SmcddXGDLFj0B/+yz8McfEkAJIYQNhg2DCxd0idHZsx3dG2ErCZyEVr48zJ8PZ87o2neurjqpZtu28MwzsGGDBFBCCPGEfv4ZlizR65mWLIGCBR3dI2ErCZxEcmXLwpw5cPas3jObJ4+ujdexI/j6wrp1yQMok0lP6/30k742mRzVcyGEyFIuXoQ339Q/f/ABNG3q2P4I+5DASaTOwwMCA+HcOb1nNl8+nbqgSxeoXx9WrdJFh8uX19N6fn76unx5ne5ACCFyMZMJXn1Vr29q1Ag+/NDRPRL2IoGTeLTSpeHzz3UANXo0PPUU7N8P3brByy/DpUvJz798GXr0kOBJCJErXb16FdBlVIKD9VvmkiV6/43IGSRwEulTsiRMm6ZXOI4bpxNppsY8jffOOzJtJ4TINaKiohg8eDDvvfcee/cmWEaYvvxS78EROYcETuLJFCumF4w/aqG4UhASotc8CSFEDpSQkJDsdt68eenfvz9z5izg1VeNxMfr6lavveaY/omMI4GTeHJXrqTvvBdf1NN25t16sitPCJHNmQMm40Npv5VSNG7cmDFjXDhxYjvu7jrRZVqD8yL7kllX8eTKlEnfeZGR8Ouv+gJ64XibNvry3HNQvHiGdVEIITKCOWD64Ycf2LZtGz4+PnTv3p0yZcqwbh3Mnz8D+Iq33ppHsWLtHNtZkSGsGnF6/XUYNcreXRHZRvPm4OmZ9lcpg0Hfv2MHfPyxTqTp4gLnz8O338Irr0CJElCvnv5FCgqCqKhMfQlCCGGN8PBwXnjhBcaOHYuLiwuTJk3Cz8+PhQvX8PrrAM0oV64yly+vc3RXRQaxKnBaskRvshK5lJMTzJqlf344eDLfnjVLJ8784AO91un2bV0TLyAAatfW5+zfr7eetG8PRYroUaipU3UVTFlYLoRwEKWUZUpOPbTEYMuWLZw+fZoNGzbw1VdfsW3bNtzd3RkyJIAbN6B27Ua8/LIP//zzD3v27HFE90UGsypwKl1a5m1zvW7ddB4nD4/kxz099fFu3ZIff+op6NABZsyAgwfh6lVdbNjfXz8mJgY2b9Y79nx99YiUeX3U6dOyPkoIkSmUUhgMBoxGI5GRkcTGxia7//z580RFReHt7Q1AzZo18fAIICoqHGfnT1m6FF54oSMuLi4sX77cES9BZDCrAqe2beHPPyEuzt7dEdlKt256+m3LFli6VF+fO5cyaEpNqVI6aeaCBTq97okTOmN5165QqJAeofr1Vxg8GKpU0UWeBg6EZcvg+vWMfmVCiFzKYDBw/vx5unfvjq+vLz169GDJkiWW+yMiIvD09OTkyZMAHD0Ks2fXAvzJly+Qp5+GZ599ljp16rBnzx6OHj3qoFciMopVgdPEiXqAYOBACA+3c49E9uLkBC1bQu/e+trJ6cmfw2CAqlV1jbxVq+DGDdi9O/n6qAsXEtdHlSwJdesmro+6fz997Uh5GCHEY9y7dw8/Pz9MJhMzZszAxcWFkSNHMn36dAC8vb25ffs2hw4dIiZGf/+LiXGlUaOuODnF8NtvvwHQoUMHTCaTjDrlQAb18ARuOnz0EZw8qQcZihXTm6TKl4e8eVNpwJC7Us1funSJsmXLEhISgqenp6O7kzNERuqCwxs3wh9/wKFDye93ddXrqdq00cOh9eqlDOBWrtS195JmOvf01Gux0jNCJoTIFX766SfGjh3Lhg0bqF69OnFxccyZM4cPPviA3bt3U6tWLerXr0/9+vVxdv6Yr74qRfHi8L//XeSdd/zo2bMnb7/9NnFxcQwdOpSzZ8/y3XffUa5cuUx/LfJ5lEGUFQwGpYxGfZ3WxXy/0WhNC9lXSEiIAlRISIiju5JzXb2q1NKlSvn7K1W2rFJ6BVTipXBhpbp1U2rePKVOnVJqxQr9y/jweeZf1l9/dfQrEkI4mMlkUkopNW/ePFWmTBnL8YSEBKWUUpUrV1b9+/dXSik1f/58VaFCLQVfK1BqzRqlQkNDVZ48edSqVassj129erVq1qyZWrBgQaa9jqTk8yhjWJXHafx4WRwuHKhUKT012Lu3DoFOndIjURs36nVWd+7oESZzvTwnp9QXlyulf5HfeUcn67RmmlEIkeUlJCSkmrDSkOSDzHx/mTJlcHV1Ze/evTRs2JC4uDhcXV0ZN24cw4cPZ8qUKbz4oj8BAbuAaTz7rBN16jzHggVLqFevHvXq1bM8Z5s2bRg1ahRRkm4lR7EqcJo40c69EMJa5vVRVavCkCEQHw/79iUGUjt2PHotk7k8THAwtGqVef0WQmQao9FIVFQUv/zyC+7u7jRr1oy8D60tMQdSZcqUoVy5cqxcuZKGDRvi4uICQM+ePRk+fDhbt25j1are3L8/hcKFp3PlynSaNv0QZ2dnvvjiC7y8vCzPuWnTJi5evEiVKlUy9fWKjCWZw0XO4uwMjRrpy/vvw/ff8yAr3aO9+KJOg1CnTuKlRg29fkoIka3NmjWL999/n2rVqnHp0iXq16/P2LFjad68OSaTCScnJ8voU4MGDfD29iY4OJhTp05RpUoVlFIYjUZ8fHz48ceD/N//9cbZ2Z2NG2fi6TmakJAQGjZsmKLd8PBwZs+eTdu2bTP7JYsMZJfA6erVxDW3Hh7pr8ghRIarUCF954WHw6ZN+mLm4gI1ayYPpurUkVIxQmQjYWFh/PTTT0yePJnhw4ezceNG/vvf/+Lv78/p06dxSjJFn5CQgJOTE127duXQoUNMmTKF77//HoPBQFhYGEePniAycgQAkyYpGjQwAKUpXbo0APHx8Tg7J36s9unTJ1Nfq8gcNgVO332nEz+fOpX8eNWq8N576fuiL0SGMpeHuXw59XVOBoOO9lesgCNHdHLOAwf09b17+vrgweSPcXcHH5/kwVSVKrJGSogsaO/evezfv58//vgDgLZt2+Ll5UXTpk2ZNm0aY8aMsZxrXgvVqlUrbt26hZ+fH9HR0bRr145Vq1YTE1OJ6GhfWrSA0aNTLvRNGjSJnMvq/+WBA3XuQvNnUdGi+vrWLZ3LcOBA2LULvvnGHt0Uwkrm8jA9euggKWnwlLQ8jHl6z0wpnTvKHDiZA6qzZyE0VF/+7/8Sz8+bF7y9dRBlDqpq14aCBZ+8zyaTTr9w5Yoevm3eXIIyIdKQ2sLvpJydnSlWrBiXLl2ievXqJCQkUK1aNd5++23mzJnDsGHDyJ8/v+Vc83WvXr0wGAxs2LCBGTNmYDT6EBExj0KFPFi8WP4kczVrtuL98ovexV20qFIzZih1507ifXfvKjVzplLFiulUBMuX22X3X7Yh2z+zqF9/VcrTM3k6grJlnzwVwd27Su3YodTcuUoNGqRUo0ZK5cuXMtWB+VKhglJduyo1YYJSq1YpdfasUg+2N6e7n56ekjJBiMcwpxN42ObNm1WTJk3Ul19+mez4+fPnVZ48edSaNWssj9+9e7f6+OOPUzzH1q3RymjUf45LlqTeTlYkn0cZw6oEmG3a6E1Iu3frXIOp2b9ff4F/9lm9uSm3kIRjWVhGjeSYTLqeXtLRqYMHkyfbTKpgQT0aZZ7m8/HRo1X/+58eGXv4T9I8MpZaDUAhBIMHD+app57i888/B8D0YCetk5MTsbGxvPTSSxQsWJDAwEBKlSqFUoqoqChefvllSpcuzXfffYfJZOKbb75hyJAhnDt3zpKw8t49Rd26Bs6eNeHnZ+DHH60quOEQ8nmUMayaqtu/XwdEaQVNoCtiPPss/POPtV0Tws7M5WEy4nmrVdOXnj0Tj9+8qbOcm9dMHTyoC1vdu6fTJOzYkXiuwSD5poRIxaOm4sz3tWzZkjfffJMPPviAggULWhZ8R0dHkydPHjp16sSiRYtYsWIFQ4cOtRTxDQsLo379+paddc8//zzr1q2jXLlylucePtzA2bNQrpwT8+Zl5isXWZVVoXNkpC4X9jglS+pzhciVihXTuaFGjICFC/U3jogIHUz98AO8+64evi1RQgdH8fFpP5c539T27ZnWfSGyAqPRyK1bt7h8+TKgg6Wk9wH06tWLAgUKsGzZMoxGI0eOHKFLly6MGKF3wPXt2xcfHx8+++wz9u7dS2xsLGfOnOH+/fs0atTIEmh5eXnRqVMny3OvWKH/dI1G/SdbqFAmvnCRZVkVOJUurT8DHmf/fp3kWQjxgIsL1KoFffvC55/reeywMJg7N32PHzhQF3/ctg1iYzO2r0JkAYsWLaJEiRLMmjULINnok8lkIv7BF47p06fz4Ycf0qpVK5555hkKFy7M0KFDUUpRsGBB3n//fXx9fenUqRMtWrSgYcOGNGzYkGbNmqXa7qVLMGiQ/nnMGD2zLwRYGTi1aqV3zk2blvY5U6fqc557ztquCZFLGAw6X1R6nD4Nn3yipxyLFIHnn4eZM/UoVpJv4kJkJ49aart27Vrc3d25cOEC+x98Yzef7+TkhLOzM2vWrOHzzz/n1q1buLi4cOzYMRYvXoy3t7clsaWXlxdLly5lw4YNvPLKK/z1118sWrSIQqkMIyUkQP/+cPs2NGgg1TJEclYtDj9xQq9hionRv1T9+iXmGTx7FhYt0mub8uTR19Wq2bvbWZcsxhNWMZmgfPlH55sqXRo+/hg2b9YlZa5dS35OyZL6m0qbNvqSpPSDEFnRo9YvmUwmYmNjGTJkCHXq1GHx4sX07t2b9957z3LOn3/+ycCBA7l9+zZjxowhLCyMVatWcezYsXS3D6Tow+ef61yE+fLpmZOqVa18gQ4mn0cZw6rACWD9eujTR69zfbjgr1J649CPP8KD6eJcQ35RhdVWrtS76iD1fFNJd9UpBYcP6wDqjz/01N39+8mfr2rVxCCqVSsoXDjDX4IQ1vjhhx+4du0afn5+lElSeuLq1au0aNGCI0eO4O/vz927d5k5cyZVH0Qye/fu5ciRI7z44osUfZBMsGDBgvz444907tz5kW2mFbQdOKCrL8XFwddf69nx7Eo+jzKG1fsqO3WCkyfho4+gdevETUWtW+svxSdP5r6gSQibdOumgyMPj+THPT1TpiIwGHRKg4AAnYjz9m0dPH34ITRurFeznjwJ8+bpxxUrpvODfPABbN2qh4uFcBDzSM/KlSvx8vJi7NixREdHExERkey8HTt2UKdOHVxdXenZsyfXr19nx44d/PbbbwA0bNgQf39/ihYtalnr1LdvX4YPH/7YPqQWNEVFgZ+fDppefBEGDLD1lYqcyKoRp+BgvSP6mWcyokvZm0T4wmb2yDd1964OkMwjUsePJ78/b15o0UKPRrVtqxesPyL7shD2du/ePV566SWee+45xo0bl+w+c823OXPmsGvXLn788UcAatWqxYULF4iIiODo0aNUr17d8hjzCFJUVBRr1qzhlVdeeeI+vfUWzJmjZ8UPH87+ZSnl8yhjWBU4GY16bermzRnQo2xOflFFlnTpki5gvHGjDqTCwpLfX6JE8vVRD5L/PZaUhxFW+vTTT1m1ahW7d+/m5s2brF27lmLFitGoUSNKPdiO7efnR6tWrbh69SozZ87ExcWFvHnz8u677/L222/btT//+5/eawGwYQO0b2/Xp3cI+TzKGFZ9xSxSRNc5FUJkE56eepvQkiU6yDl8GL74Qs+nP/UUXL8OP/+s5ybKl9dFiwcP1uuubt9O/TlXrtTntmql5zdatdK3V67MxBcmsprHfRc3T9NFRUVRqFAhNm7ciLe3Nz/88APDhg2jS5culqm46Oho3njjDX799Vfmzp3LsWPH8Pb2Zu/evVy9etVufb52Dfz99c9vv50zgiaRcawacXruOZ3H76+/MqJL2ZtE+CLbiY3Vf8zmab2//tIjSWZGI9Svnzga1bSpXlcl5WFEEkopy9Z/0FNxBR8UuX74PoAxY8bw77//EhUVRffu3XnjjTf4+++/mT9/Pps3b+b8+fPs3LmT+/fv06xZM/LkyQPA559/zo8//sj8+fNplLQwt9X9hi5d4LffdOWjvXv1jvCcQD6PMog1Be5Wr9ZFfn/7zaY6eTmSFFUU2d7du0qtXavU228rVaNGysLFefIo5eaWdmFjg0EXUI6Pd/QrEQ6wdu1a5evrq1q0aKEGDRqkwsLCkt1vLsa7fPly5eLiosqVK6eioqIs9//zzz8qf/78av369ckel/CgOPb9+/fVzZs37dbfr77Sv7aurkodPGi3p80SsuLn0cWLF9Wzzz6ratSooWrVqqV++eUX+zxxhQpKtW9vn+d6DKum6urWhWHD4KWXdGbV33/XuZ0uXkz9IoTIRgoWhM6dYdYsXVvv0iWdnO3VV/U6pujoR+/Kk/Iwuda6desYPnw47dq145VXXiEoKIgePXqwZcsWIHkKgB49elC3bl0iIiIICQmxPEfx4sWpXLlysmOAZcQqT548FC1aNFnpFWsdP643poJO6Fy7ts1PKR7D2dmZwMBAjh49SlBQEO+88w6R9qjNFhYGD1JSZDSrAqcKFXSFiPh4+O47vaCuZk19/OFLxYr27rIQIlN5eOgst4sX6wSdn32WvsdduZKx/RJZzqJFi/D29ubjjz9m8ODBbN++HTc3NwIDA4mPj7cETaYHU8FDhw6lUKFCzEtSPTckJIS7d+/yTBrbts0BVFqJM9MrNlbnIoyK0jPQ6chgIOygTJky+Pj4AFC6dGmKFy/OrVu3bH/icuV0YslMYNVvXtmyOilxuXL6+lGXsmXt3WUhhMMYDNCwYfrOTZLIUOR8d+/eJTw8nHr16lmOeXp60rdvX86dO8eSJUsAiI2NtQQ/vXv35o033mDevHl07dqVt956i969e9O5c2cqVaqUof2dMEFXtihaVA+oSjYOLTg4mM6dO+Pu7o7BYGD16tUpzpk7dy7ly5cnT548NGrUiD179ljV1r59+zCZTJS1R6DQo4fOlXT9uu3P9RjO1jzo/Hk79yIHio+PJy4uztHdEML+GjfG2cMDQkMxpLK3RBkM4OFBfOPGOpOgyBXy5ctHdHQ0V69eJTIyEldXVwBatmzJxo0bWb9+PX369MFgMGAymYiJicHZ2ZkRI0ZQvXp1/v77b44cOcIXX3xhyfqdUe+hf/4Js2frdGbffquzceTEX1VzUtDw8HDuJRmNcXNzw83NLdXHREZGUqdOHV5//XW6pbLBY9myZQQEBFgW5wcGBtK+fXtOnDhByZIlAfDx8bG0nVRQUBDuD7bk37p1i379+vHNN9/Y/DoBGDtWrxtq105PiTVtap/nTYVVu+oWLwY3N+jVKyO6lL2ZdzEsXbqUfPnyObo7QmSIMrt20fDTTwFIulfK/Gayd/RorjRpkun9EkIkun//Pn5+fimOT5gwgYnpqFxsMBhYtWoVXbt2tRxr1KgRDRs2ZM6cOYBet1a2bFneeustxowZk65+xcTE0LZtWwYOHMirr76arsc8VuvWev3l7t16ZLxkSZ0eJW/elOcaDDqvnZWsGnHy99dBnQROaWvSpAkeD5fOECKneP55TPXq4RQQoNc9mXl6Ypoxg7ovvURdx/VOOMi9e/eoXbs2w4cP56233sLZWX/EbNq0iYEDB/LPP//g5ubGc889R7ly5fjmm2/Inz9/sucwmUw4ZVASVaXgP/+BX3/V62937NBpzHKqyw/+No8ePZrs8yit0abHiY2NZd++fYwdO9ZyzGg00qZNG3bt2pWu51BK8dprr9G6dWv7BU2gKyUkNqIXiz+c6Nfs4QK7T8iqwKlYsUxbvJ5tOTs74+Li4uhuCJFxevaE7t31kPiePTByJIZp03CWzOG5VrFixRg6dCgzZ87E19eXli1bAnrBt9FoJDY2lhIlSvDFF19Qo0YNihQpkuI5Mup9848/dA7Y0FCd3P6773J+3Wtz4FqgQAFLTi1b3LhxA5PJZMnsblaqVCmOP1zWKQ1//vkny5Yto3bt2pb1Uz/88AO1atWyrXMPdm5mBqsCp0aN4NAhe3dFCJHtODnpPdx79kCBAlJuRTBu3Di2bt3K4MGD6dWrF+XKlWPq1KkMGDDAMurRrFkzIPXEmBlBKXj3XR00AYwfrz/HROZr1qyZXVJJpPDss/Z/zjRYtY9g1Cg4dgz++197d0cIke2YpwCSTtmJXG3BggW8+uqr7Nq1i6lTp/Lmm2/y4YcfpjgvM4Im0HXokn7Zb9AgU5rNcYoXL46TkxNhD02BhYWFUbp0aQf1KvNZNeKkFLz5JgwZoueKu3dPew0W6CLsQogcSgIn8RBPT0/GjRvHkCFDKJxkPiyzRpiSUkp/VpkZjTBxInTsaPNSl1zH1dWV+vXrs2nTJsuC8YSEBDZt2sSwYcMc27mkQkNh27bE9yQPDx2I2GndsVWBU8uW+hdOKT1v/KjF6QaDTpQphMihJHASaTAHTfHx8Tg7O2d60AQQFAQXLiTeTkjQ9eiCgqSYb2oiIiI4ffq05fa5c+c4cOAARYsWxcvLi4CAAPr370+DBg3w9fUlMDCQyMhI/M1Vkh3p7l1d1uTnn/V/dFJGI/TuDV9+CYUK2dSMVYFTixYSqQshHpDASTyGeZFyZlMKUpkhxMlJH2/XTj7LHvb333/TqlUry+2ABzVp+vfvz8KFC+nVqxfXr19n/PjxXL16FR8fHzZs2JBiwXimi47WKeD/+Uf/x9epA+YkqmfPwoED8OOPus7O9u06p5KVrMrjJNIm1ahFrnPjhs4gCPrNy4Y3JCHs6fffoUOHtO/fsCFnjzrlqs+j6dNh9GioVw++/lpfJ7V/P7zxBuzbB59+CiNHWt2UJJkXQtimWLHEYEnq04kswjzalNaIktGo75ehgxxi2TJdoPz331MGTQB168L//Z/e/fvzzzY1ZZfAKTZWv1/ao06fECKbMRjgQRkFma4TWUVsLFy8mHZglJAAISH6PJEDnDwJrVrpL3JpKV5cn3PihE1N2RQ4LVkCvr4686qnZ/KRr1WrwM8Pzp2zqX9CiOxA1jmJLMbNTS8C79lT3+7bV8/SJL3s3SszyzmGyQTpSZ7q4pJy4fgTsnrF3oAB8P33OprPnx8iIpLfX7WqHg2rV8+mqUQhRHYggZPIgsqWTZw9btcu9RkckUNUqADBwRAVlXZupKgofU6FCjY1ZdWI048/woIF4O2tI/a7d1Oe8/TTehTqf/+zqX9CiOxAAieRBSmVmPiyTh3H9kVksC5d4No16NMHrl9Pef/164n3JSlabA2rRpy+/lqPMv32m47o01Krls4wLoTI4SRwElnQhQv6i72LC1Sv7ujeiAz13nuwdCmsWQMbN+rtlOaRpbNn9RbKqCgoV87maTCrAqeDB3Wdn0cFTaALAadVnFgIkYNI4CSyoIMH9XXNmuDq6ti+iAxWpAhs3qwXV+/Zo8uamLdUmncINGqkgysbqztbFTjFxKQv8eb161LzU4hcQQInkQWZA6fatR3bD5FJKlaE3bvhzz9h69bkJVdatoRnnrFLM1YFTh4ej5+CUwqOHrV5DZYQIjtIGjgpJemYRZZgDpxkfVMu8NFHOkfTiBE6QLJTkJQaqxaHP/eczlq+Zk3a5/zwA1y6BG3bWts1IUS2UaaMvo6JkYRuIsuQwCkX+egjXdg3E1gVOI0cqXNf+PlBYKAuRGx26xbMn6+rUT/1FLz9tp16KoTIuvLkSUw8J9N1IgsID4czZ/TPEjjlAiVLpp2GwM6sCpyqVIFFi3QOqXff1YvEDQZ9rEQJGDoU4uNh4ULw8rJzj4UQWZOscxJZyJEj+rpMmcRSiiIHa95cLwrPBFZnDn/5ZZ3D6eWX9bSiUvqSJw907gy7dkH37vbsqhAiSzMHTkmHoIVwEJmmy2XGj9fvPR98kOEFCK3OHA46AebPP+s+3rypR6CKF9fFE4UQuYyMOIksRAKnXGbfPujXD6ZO1akIunaF8uXTnr7r18/qpmwKnMwMBh0wCSFyMQmcRBYigVMu89prOhhRShfx/eyzR5/v6MBJCCEkcBJZRUKClFrJdfr1y7Q0KBI4CSHsQwInkUWcPQuRkXr3d9Wqju6NyBQLF2ZaU7IaSQhhHxI4iSzCPE3n7Q3OMjyQO7z+OowenSlNSeAkhLAPc+B0/bpOhCmEg8j6plxoyRI91JgJcnXg9NJLL1GkSBF69OiR7PidO3do0KABPj4+eHt788033zioh0JkI8WK6bkRgCtXHNsXkatJ4JQLlS6daWuccnXgNHz4cBYvXpzieIECBQgODubAgQP89ddfTJkyhZs3bzqgh0JkIwYDuLvrn2W6TjiQBE65UNu2urhvXFyGN5WrA6eWLVtSoECBFMednJzIly8fADExMSilUBmcUEuIHEHWOQkHu3MHLlzQP9eu7dCuiMw0caJeIjBwoK63k4Gy7LK54OBgpk+fzr59+7hy5QqrVq2ia9euyc6ZO3cu06dP5+rVq9SpU4cvv/wSX19fu7R/584dnn32WU6dOsX06dMpLomqhHg8CZyEg5nTEHh5QZEiju2LyETffw8dOsDixbB+PbRpk3YCTIMBPvzQ6qbSFTh99JHVz291/yIjI6lTpw6vv/463bp1S3H/smXLCAgIYP78+TRq1IjAwEDat2/PiRMnKFmyJAA+Pj7Ex8eneGxQUBDu5imFNBQuXJiDBw8SFhZGt27d6NGjB6VKlXryFyJEbiKBk3AwmabLpSZOTFzjdPMmLFuW8hxzgszMCJzM/Xl4tupx67Bs6V/Hjh3p2LFjmvfPnDmTgQMH4u/vD8D8+fNZv349CxYsYMyYMQAcOHDgyRt+SKlSpahTpw7bt29PsYgc9FReTJIdROEZPEQoRJYmgZNwMAmccqnx47NWAswJE1IeO3dOj4jlyQPt2kGFCvr4+fMQFATR0dC/vx4ps7fY2Fj27dvH2LFjLceMRiNt2rRh165dNj9/WFgY+fLlo0CBAty9e5fg4GAGDx6c6rlTp05l0qRJNrcpRI4ggZNwMAmccqmJEzOtKasCp5AQqFdP19D76it4eAbr2jV48009zfj333bqaRI3btzAZDKlmDorVaoUx48fT/fztGnThoMHDxIZGYmnpyfLly+nSZMmXLhwgUGDBlkWhb/11lvUqlUr1ecYO3YsAQEBltuXL1+mZs2a1r0wIbI7CZyEA8XHw5Ej+mdZGC4yilWLwz/8EFxcYOlSPeL0sJIl9X0VK+pzFy2ytZsZ448//kj1uK+vb7qn+dzc3HAz564B7t27Z4+uCZE9JQ2czHP1QmSSU6f0bEe+fFCpkqN7Ixzm7l3Yu1cn4y1XDpo2tevTW5WOICgIWrRIPWgyy5MHmjeHjRut7VraihcvjpOTE2FhYcmOh4WFUbp0afs3KIRIH/Omi5gYuHXLsX0RuY55mq5WLXBycmxfhAOEh8OAAXr0pn176NsXvv028f5vv9XvUX/9ZVMzVgVOt25BVNTjz4uOhtu3rWnh0VxdXalfvz6bNm2yHEtISGDTpk00adLE/g0KIdLHzQ3MqTtkuk5kMnMqAlnflAtFRUHLlrBggc5D0bFjyh1tL7wAYWGwerVNTVk1VeflBVu26PbT2qF/9ao+p2xZ6zoWERHB6dOnLbfPnTvHgQMHKFq0KF5eXgQEBNC/f38aNGiAr68vgYGBREZGWnbZCSEcxMMDbtzQgZMsNBGZSBaG52IzZ8L+/dC7N3z9NTz1FBgfGhsqXRpq1NDBiQ2sGnHy84OICHjuudSn4v74Q2c/j4zU51rj77//pm7dutStWxeAgIAA6taty/jx4wHo1asXn3/+OePHj8fHx4cDBw6wYcMGybUkhKPJAnHhIBI45WLLlunA6LvvdNCUlqpV4dIlm5qyasRpzBj4/Xc9Tdihgx6ZN6cdOH9ef9lUCho10udao2XLlo8tczJs2DCGDRtmXQNCiIwhgZNwgJs3E3/lZKAzFzpzRo/YPGrxNeidAzdu2NSUVSNOefLA5s3w7ruQP79euL53b+Ii9qeegoAA2LTp8a9BCJHDSOAkHMA82lSxIqRSglTkdE5O6Svwe+nSo0ek0sHqWnV588L06fDxx/DPP4kjXx4eUL++BExC5FoSOAkHkGm6XK5SJf1LEB8PzmmENhERegeBjbkWbS7ymyeP3VMkCCGyMwmchANI4JTLdekCn3yiL2llEf/kE53j6aWXbGrK5sAJ4PRpPUVXrJhedyWEyMUkcBIOIIFTLjdiBHz/vZ4GO3AAevbUx8PCYOVK+OUXWL5cL8h+802bmrJqjROAyaSDt9KloVo1aNYMpk1LvP/HH/VI1L//2tQ/IUR2Yw6cbtzQiTCFyGBxcXD0qP5ZAqdcqnBh2LBBF85duxZefVVXLtiwAV5+WQdOXl6wbp1j1jiZTDqPVFCQnkqsUSPxl9bsmWd0v1euhKeftqmPQojspGhRnQgzJgZCQxMrgAuRQY4fh9hYKFgwYwrLi2yiZk1drHDhQvi//4OzZyEhQSeU7NgRBg3Su+psZFXgNH++TkfQujUsXqwzmD+cZ6p8eb1WKyhI16sTQuQSBoMedTp7Vk/XSeAkMph5mq52bSmPmOvlyaOn4mycjnsUq6bqFi3SXyqXL08sTZWaGjXg4kVruyaEyLbMbwyyzklkAlnfJDKTVYHT8ePg66vLwTxKoUJw7Zo1LQghsjVZIC4ykQROIjNZFTiZTHoJw+NcuZK+83KCuXPnUrNmTVq2bOnorgjheBI4iUwkgZPITFYFTuXKJVahTktcnF6jVaWKNS1kP0OHDuXo0aNs3brV0V0RwvEkcBKZ5OpVPbNhNIK3t6N7I3IDqwKnDh10Tbqvv077nC+/1LmdOnWysmdCiOzLHDiFhjq2HyLHM482Valilw1TQjyWVbvq3ntP7/YbMkSnITDnmYqM1OVXfvkFZs7UxX+lBq8QuZCMOIlMknRHnRCZwaoRpzJlYPVqnW9q9mxo3lxvAV2xAho2hM8+08V/f/1VB09CiFwmaeCklGP7InI0Wd8kMpvVmcNbtNBZwUeN0gku8+bVC8ErV4a334bDh3U2cSFELmRORxATA7duObYvIkeTwCl7un//PuXKlWPkyJGO7soTs6lWXalSusxK0lIrQgiBm5sebr5xQ486FSvm6B6JHCgmRqfHAQmcspvJkyfTuHFjR3fDKnYp8iuEECl4eCQGTrIARWSAo0d1epwiRcDT09G9Eel16tQpjh8/TufOnTly5Ih1T9K6tfUdMBhg0yarH25V4NS6ta5RN3Uq1K+f9nmffqpLs2zebG33hBDZloeHnkeRBeIigySdppNSK/YRHBzM9OnT2bdvH1euXGHVqlV07do12Tlz585l+vTpXL16lTp16vDll1/i6+ub7jZGjhzJ9OnT2blzp/UdTSv1j/kX4eG1lUmP2/jLYlXgtHWrbrdlS1i2DJ5/PvXzjh+Hbdus75wQIhuTnXUig8n6JvuLjIykTp06vP7663Tr1i3F/cuWLSMgIID58+fTqFEjAgMDad++PSdOnKBkyZIA+Pj4EB8fn+KxQUFB7N27l6pVq1K1alXbAqctW1IeW70aZs0CHx/o1y+xTub587qw7v798M478OKL1reLDVN15crBpUvQtSvMnQsDB9rUjxwnPj6euLg4R3dDCIcxli6NE5AQEoJJ/hZEBjh2TG9MqlNHJ10WyZmDl/DwcO7du2c57ubmhlsaZT06duxIx44d03zOmTNnMnDgQPz9/QGYP38+69evZ8GCBYwZMwaAAwcOpPn43bt38/PPP7N8+XIiIiKIi4ujYMGCjB8//sle3LPPJr+9YwfMmaOnwkaPTnn+8OF6y//778NLLz1ZWw8xKPXke4WNRnjtNZ2/6eWX4f59GDsWPvkk+Xn+/jrIM5ls6mO2cunSJcqWLcvSpUvJJ9nYRC7mtXEjdefO5Wr9+vz14YeO7o4Quc79+/fx8/NLcXzChAlMnDjxsY83GAzJpupiY2PJly8fK1asSDZ9179/f+7cucOaNWueqH8LFy7kyJEjfP7550/0uFR17KhHcw4ffvR5tWrp0fANG6xuyqbF4R066Km4Tp10kBcSAt99p9c/5XZNmjTBwzxVIUQuZDAaYe5cSsXF8Xxa8/lCWCk0FGrUACen3FUX9UlcfjBNfvTo0WSfR2mNNj3OjRs3MJlMlCpVKtnxUqVKcdy8vdFR9uzRQcnj1K4N//ufTU3ZHOLUqwe7d+tgb8kS/cu8apVOgJmbOTs74+Li4uhuCOE45coBYAgNlb8FYXdHjkBUlM4jmNs/b9Li/GAUo0CBAhQsWNDBvUnptddes9+TRUenr8TTlSs6j4UNrE6AmVS5crBzp054uWmTvpYSVULkcuZvuDdu2PxGJcTDZGF45itevDhOTk6EhYUlOx4WFkbp0qUd1KsHatbU65weteB81y4IDtbRtg3sEjiBLr+ycaNe93ToEDRuDCdP2uvZhRDZTtGiifMn8k1K2JkETpnP1dWV+vXrsylJDqSEhAQ2bdpEkyZNHNgz4K239ILqDh30AvCjR/WQZFSU3kXwwQf6PqVg6FCbmrLraiRXV/j5ZyhbFmbMkF3IQuRqBoMedTp7Vr8ZmLcGC2EHEjhljIiICE6fPm25fe7cOQ4cOEDRokXx8vIiICCA/v3706BBA3x9fQkMDCQyMtKyy85h+vWDffvgyy/TLmmiFAwbBv3729SUVYHTs89C9epp3z99up6+Gz7c2m4JIXKEpIGTEHZy/z6cOqV/lsDJvv7++29atWpluR0QEADonXMLFy6kV69eXL9+nfHjx3P16lV8fHzYsGFDigXjDjFrFrRrB4GB8Oefet0T6JHvZ57ROZxeeMHmZqxKRyDSZk5HEBISgqfUABC5Xe/eehh6xgx48AYshK327IFGjaBkSXhouY1IIld/HplMcPOm/rlYMb390k4kcYCdzJ07l7lz5xIbG+vorgiRdUj2cJEBZJpOPJaTk46sM4AETnYydOhQhg4daonwhRBI4CQyhARO4pGOHtW7665f1zvounTRxxMSID5eL8i2QboCp4oV9TrPP/7Q6zsrVkx/AwYDnDljbfeEENmaBE4iA5gDp9q1HdsPkcWEhOiSJUnr2PXvnxg4ffMNDBkCQUHw3HNWN5OuwOn8eR0AmWsBnT+f/gakYrUQuZgETsLOlNIpb0BGnEQSt27pnWvnz4O3N7RoAfPmJT+nZ0+9q27t2owPnM6d09fm90DzbSGEeCTzm0ZoqP7Ek29Swkbnz8O9e+Di8ujd3SKX+fRT/csxcqT+2WBIGTgVKaJr1e3YYVNT6QqcHlROSPO2EEKkyt1dX8fE6B0uxYs7tj8i2zOPNtWsafNSFZGTrFkD5cvr/E2P+oJWsaJOVWADu2UOF0KIFFxdoUQJ/bNM1wk7kIXhIlUXLujiucbHhDWurnpazwYSOAkhMpascxJ2JIGTSFWePBAe/vjzLl6EQoVsaipdU3Wvv259AwYDfPed9Y8XQmRzHh5w4IAETsIuJHASqapeHf75ByIj4amnUj/nxg39C9SokU1NpStwWrjQ+gYkcBIilzOvc5LASdgoPDwxvY0ETiKZHj3gvfd0hYKvvkp9yu6993S9nl69bGoqXYHT99/b1IYQIjeTqTphJ4cP62t3d9lnIB4ydCgsWgTffquL/Xbrpo+fOQMzZ8Ly5bpWj48PvPaaTU2lK3CysZCwECI3k8BJ2IlM04k05ckDv/8OL7+ss4bv36+P79ihL0pBw4awerXOZWEDKbkihMhYEjgJO5HASTxSmTI6SPr9d1i/Hs6e1WVWypaFjh3hxRftkktOAichRMaSwEnYiQROIl3at9eXDGJT4BQTo0vCnDihM7kqlfIcgwE+/NCWVoQQ2Zo5cLp5E6Kj9ZC6EE8oISFxjZMETsKRrA6cVq2CN97Q74VpMVdYkMBJiFysaFFwc9PftEJDn6xKuBAPnDmjd5rnyQNVqji6NyLLMRrB2Rlmz4Y330z7PH9/+OEHiI+3vilrHvT333o335078MoruvQLwJgx0L07FCyob//nPzB+vNV9E0LkBAZD8pp1QljBPE3n7a0/H4VIIT5e764bO/bR56U2PfYErAqcPv8cTCZYsQJ+/BHq1tXHJ0+GX36BkyehXTv43/9gyBCb+ieEyAlknZOwkaxvEo/VpAmULg2ffQZ9+0JcXIY0Y1Xg9OefusBily6p31+iBPz8sx5WnTTJlu4JIXIECZyEjSRwEo9VrRrs3q2ziP/0E3TooBdg25lVgdP167pfZuZh0+joxGOFCsGzz8L//Z8t3RNC5AgSOAkbSeAk0qVsWZ3HqXlzvXutWTO7v+9YFTgVKJB8XZW5Xt7DyxdcXODqVWu7JoTIMSRwEja4fVvXZgWoXduxfRHZQKFCsHGjXoR95IiewjNvybQDqwInT08ICUm8bR592rIl8VhcnB4xK1XKlu4JIXIECZyEDQ4d0tdeXlC4sEO7IrILFxdYulTXp7t0CVq0gD/+sMtTW7U3oVkzXQ7m7l0d2HXqpKfrAgL0dJ2XF3z9tR6B6tPHLv3M8ubOncvcuXOJjY11dFeEyHokcBI2kGk6YbVPP4Vy5WD4cHjhBT3yYyOrRpy6dtVtb9umb5cpA+PG6crVb7+t71+/Xn8z+OQTm/uYLQwdOpSjR4+ydetWR3dFiKwnaToCG7cCi9xHAidhkyFD4Ndf9QjP2bM2P51VI07PPQenTiU/NmGCzue0fDncugU1asA77+jRJyFELufurq9jYnTWXCltL56AeapOAieRpgkTwMcn7fu7dIHNm3WOp4QEm5oyKCVf/+zp0qVLlC1blpCQEDztMCQoRI5RsqTeknvggHwCinSLj9cbkqKjdY5AyRqefvJ5lDGsmqoTQognJuuchBVOndJB01NPQaVKju6NEDYW+RVCiHTz8NCjTRI4iSdgXt9Uq5YuRyYEkJifwsMDnJwSb6eXDeuIrA6czp7Vi9U3bdLrPWNiUj/PYLCplp4QIqeQESdhBVkYLlJVvryOpI8ehapV9W2DIX2PtTEwsSpw2r8fWraEiIjHb5CRFVRCCEACJ2EVCZxEqry8dADk4pL8diawKnAaPVqnHujeXachqFIF8ue3d9eEEDmKBE7CChI4iVSdP//o2xnIqsBp1y5dS++XXzItwBNCZHcSOIkndONGYimvWrUc2xchzKxaaufiotMlSNAkhEg3CZzEEzKPNlWqpFMSCJEVWBU41aunS78IIUS6mQOnmzf1/nIhHkOm6URWZNVU3ciRuuTL1q16kbgQQjxWkSKQJ48OmkJDoWJFR/dIZHESOIk02fL+YTDAmTNWP9yqwKlDB5g1C158UZeA6dhRL2hPK8eGlF0RQmAw6FGnM2f0dJ0ETuIxJHASabJlMbiN64yszuNUr54uP/XZZ/qSFsnjJISwSBo4CfEIsbE6RQ9I4CRSce6cw5q2KnDasQPatUtcplCsmKQjEEKkgywQF+l0/DjExUGhQlCunKN7I7IcB/5SWBU4ffCBDpoCAuD99/XSBSGEeCwJnEQ6mafpateWHdwia7EqcPrnH6hbFz7/3N7dEULkaBI4iXSS9U0iq7IqcHJ11QkwhRDiibi762sJnMRjJB1xEiLd/v4bVqyAEyfg3r3U674ZDLrQrpWsCpwaNYKTJ61uUwiRW8mIk0gHpWTESVhh5Ej44ovEYMlgSB44mW/bOPdrVQLMDz+EQ4fgp59salsIkduYA6fQUKkALtJ09Spcv65T3Hh7O7o3IltYvhxmztTvMf/9r97BBvD77zBnDjRpot9zxoyBzZttasqqEafYWHjnHXj1VVi79vF5nFq0sKGHQoicwzxVFxurC5GVKOHY/ogs6dAhfV2lCuTL59i+iGzi66/ByUlPwVWpAjt36uNt2+rLkCF61Gf6dOjZ06amrAqcWrZMHPH65Rd9SYvkcRJCWLi66mDp+nU9XSeBk0iFTNOJJ7Z/v15HVKVK2udMmgRLlsAnn+h1UFayKnBq0UK2hwohrOThkRg4+fg4ujciC5LASTyx8PDkZUpcXfV1RERiokmjUQdX27bZ1JRVgdPWrTa1KYTIzTw84MABWSAu0iSBk3hiJUrAnTuJt4sX19fnzydfKBcZqXfb2cCqxeEffaQXrgshxBOTnXXiEaKjddZwkMBJPIHy5eHChcTbdevq9URLlyYeu3pVjzbZmHXc6sDJxpGuHGfu3LnUrFmTli1bOrorQmRtEjiJRzh6FEwmKFo08VdF5Cznzp2jVatW1KxZk1q1ahEZGWn7kz73nI64zcV/O3bUv0Sffgovvwzvvqun6SIjoXt3m5qyaqquZEnIm9emdnOcoUOHMnToUC5dukTZsmUd3R0hsq6kKQmEeEjSaTpZS5szvfbaa3zyySc0b96cW7du4ebmZvuTvvKKfk8JCdGjT089Bd9/r4//+mviefXrw9ixNjVlVeDUvDns2WNTu0KI3EpGnMQjyPqmnO3ff//FxcWF5s2bA1C0aFH7PHGNGvDNN8mPde4Mp07BunVw65Y+p3NnnbbABlZN1Y0frwO7Dz6QHHZCiCckgZN4BAmcHCs4OJjOnTvj7u6OwWBg9erVKc6ZO3cu5cuXJ0+ePDRq1Ig9TzCScurUKfLnz0/nzp2pV68eU6ZMsWPvU+HuDm+8oUeZuna1OWgCK0ec9u2Dfv1g6lQ9Ata1qx4ZS2v6rl8/6zsohMhhzIHTzZt6JXCePI7tj8gypNSK40VGRlKnTh1ef/11unXrluL+ZcuWERAQwPz582nUqBGBgYG0b9+eEydOULJkSQB8fHyITyWBY1BQEPHx8Wzfvp0DBw5QsmRJOnToQMOGDWnbtm2GvzZ7MSj15GNGRmPyEjCPm4c2mazpWvZkXuN07tw5PGRloxApKYVzoUIYoqOJO34cKlZ0dI9EFnH5MtSsCc7OcOVKYioeYZ3Lly9ToUIFjh49muzzyM3NLV3rigwGA6tWraJr166WY40aNaJhw4bMmTMHgISEBMqWLctbb73FmDFjHvucu3btYuLEifz+++8ATJ8+HYD33nvvSV7ao126pKfFoqPTPseGkiZWjTj16yeL9h5n165d5JNaAUKk6rnChcl/9Sq7f/2VW08/7ejuiCzEXAP1jz8c24+c4P79+wDUrFkz2fEJEyYwceLEJ36+2NhY9u3bx9gki6uNRiNt2rRh165d6XqOhg0bcu3aNW7fvk2hQoUIDg7mjTfeeOK+pGr5cr2G6PTpR59nY0kTqwKnhQutbi/XaNKkiYw4CZEGpypV4OpVmnh5oZ5/3tHdEVnE55/Dxx/rUmIPr/MVT+7yg3WEqY04WePGjRuYTCZKlSqV7HipUqU4bk6+9RjOzs5MmTKFFi1aoJSiXbt2vPDCC1b1J5lffoHevfVUWNGiev1QgQK2P28qrAqcxOM5Ozvj4uLi6G4IkTV5egLgHBYG8nciHti/H6Ki4Omn5dfCHpyd9Ud8gQIFKFiwoIN7k6hjx4507NjRvk9qXmQ+a5Yu6GuHReBpsUvgpJRe5wk60DNatVdPCJFryM46kQpZGJ61FS9eHCcnJ8LCwpIdDwsLo3Tp0g7q1QMnTkCTJvDWWxnelE0hzqZN0KGDrp9XqpS+FCigE3Zu2mSvLgohchwJnMRDIiN1yh2A2rUd2xeROldXV+rXr8+mJB/wCQkJbNq0iSZNmjiwZ0DhwjaXUkkvq0ecPvoIJk1KmccpKgp+/x2CgvT9H3xgaxeFEDmOBE7iIUeO6M+TkiXB0YMXuVlERASnkyyuPnfuHAcOHKBo0aJ4eXkREBBA//79adCgAb6+vgQGBhIZGYm/v78Dew20aqXnejOBVSNOf/wBEyfqOehhw3Rf793TlwMH9EiZqytMmACbN9u3w0KIHEACJ/EQmabLGv7++2/q1q1L3bp1AQgICKBu3bqMHz8egF69evH5558zfvx4fHx8OHDgABs2bEixYDzTjR+v30+mTcvwpqwacZo9W+/mW7MG2rdPfl/t2nptVqdOespu1ixo3doeXRVC5BhJ69UpJflNBIcO6WsJnByrZcuWPC6947Bhwxg2bFgm9SidqlfXU12vvKKDk44dwcsr7UXXNmTmtipw+usvaNo0ZdCUVLt2+px0pnYQQuQmZcro69hYuHEDSpRwbH+Ew8mIk7DZzp26Jt3Fi48vqJvZgdOdO+lbg1WunBQDFkKkwtVVL2a5dk0Pr0vglKspJSNOwkYLFsC77+qfa9eGKlX0zrUMYFXgVLw4pCfX1fHj+lwhhEjBwyMxcPLxcXRvhAOdP6/XyLq66hkXIZ7YF1/oWj0rV4I9Emo+glWLw595Ri8IX7o07XN+/BH++QeaNbO2a0KIHE0WiIsHzNN0NWtK4kthpTNndP25DA6awMoRp/fe00Fdv36wejX07w8VKuj7zp7VJVlWr9aJO0eOtFtfhRA5iQRO4gFZ3yRsVqRIpk35WxU4NWwIX30FQ4fCihXw66/J71dKj5jNnavPFUKIFCRwEg9I4CRsZs68nZCQ4eVLrH72gQP1VNzrr0PFiuDmpi8VK8J//qPvGzjQnl0VQuQoEjiJByRwEjb7+GOIiYG339a7dTOQTbXqvL3h22/t1RUhRK4igZNALwo/e1b/LIGTsNo33+hRp6++gvXrdSbxtPI4GQzw4YdWN2WXIr9CCPHEJHASwOHD+trDA4oVc2xfRDY2caIOiJSCCxf0YuuHme+XwEkIkS25u+vrW7d0kcu8eR3bH+EQMk0n7GL8+EyrQGB14BQeDvPm6bp1ly9DdHTq5xkMepegEEIkU6QI5Mmj3zxCQ6FSJUf3SDiABE7CLiZOzLSmrAqcQkN1fqYLF/So16NICSohRKoMBj0/c+aM/vYlgVOuJIGTsIvWraFsWVi0KMObsipwGjdOZ3r18YExY6BGDShY0L4dE0LkAkkDJ5HrmEyJa5wkcBI22bkTunbNlKasCpx+/x1KlYItW6BQIXt3SQiRa8gC8VztzBm4f18vb6tSxdG9Edmap6dOR5AJrMrjdPs2NGkiQZMQwkYSOOVq5mk6b29daUIIq73wAmzfDpGRGd6UVYFT2bI6OacQQthEAqdczRw41a7t2H6IHGDCBD2a062bXoCdgayaquvRA77+Wgd2Tz1l7y5lT3PnzmXu3LnEZnDGUiFyFAmccjVZGC7s5t134emn4bffoFo1qFsXypdPPc2JwQDffWd1UwalHrcvLqX796FpU/2e9/33ULKk1e3nOJcuXaJs2bKEhITg6enp6O4IkbXt3AnPPAPlyukdJyJX8fKCkBDYtk0Xthf2las+j4zGxASXj2Mw6J0JVrJqxGnYML1zeNUqqFwZGjR4dGZzGwI7IUROZh5xCg3NlOKcIuu4fVsHTSBTdcIOvv8+05qyKnBauDAxP1NEBGzdmva5EjgJIdJUpoy+jouDGzdk+DoXOXRIX5crB4ULO7QrIifo3z/TmrIqcMrEwE4IkZO5uupg6do1PeokgVOuIeubRHZlVeCUiYGdECKn8/DQgdPlyzqrrsgVJHASGSY2FvbtS9x04uEB9evrL2p2IEV+hRCO5eEB+/fLzrpcRgInYXfx8TBpEnz5pS6om1SBAvD227oYsLNtoY8ETkIIx5KUBLlOfDwcOaJ/lsBJ2EVCAnTpokubKKWLiFeooO87d07vRpg8WY9ErVtn00YU2cIihHAsCZxynZMndXWM/PmhYkVH90bkCN9+Cxs26N0GK1bAzZvw99/6cvMm/Pqrvm/DBpt3rEngJIRwLAmcch3zNF2tWpKBQtjJ4sU62eXmzTp7+MNeegk2bQI3N1i0yKam5FdWCOFYEjjlOrK+SdjdkSPQsqXOFp6WChWgdevEeWIrSeAkhHAsCZxyHQmchN3FxOhadY9ToIA+1wYSOAkhHMscON26BVFRju2LyBQSOAm7K1sWdu16dCkVkwl27wYby89I4CSEcKzChRMLcYaGOrQrIuNdvw5XruiqErVqObo3Isdo3x4uXoThw3UlgofFxup0BBcvQseONjUl6QiEEI5lMOhRp9On9XRdpUqO7pHIQObRpkqV9K46IexizBhYuhS++grWrIFXXklMR3D2LCxbpr+YFS0Ko0fb1JRVgdNHH6XvPFdXKF5cFwGWhMBCiDQlDZxEjibTdCJDeHjoVAMvv6xHlWbOTH6/UuDlpVMVmJcHWMmqwGnixMQiv4+iVOJ5dero4sBSBVsIkYIsEM81JHASGaZhQ50kbPly2Lo1ecmVli11UGWHsitWBU7jx+uAbuFCyJcP2rbVOwANBjh/HjZuhPv34bXXdI6OHTvgwAFo00ZXVrAx2BNC5DQSOOUaEjiJDOXqCn366EsGsSpwGjQI6tXTwdvcuXo6LqmbN2HoUFi/Xmc3L11a3/7mG5gxI+UImhAil5PAKVeIjYVjx/TPMvsgsiurAqcPP9Q18n74IfVRr2LFdBLPihX1ud9/r4OlX3/VZWSEECIZCZxyhWPH9IanQoV09QshMoTJpEdwoqPTPsfLy+qntypw2rABmjd/9FShqys0awZBQfr2U0/pBeK7d1vTohAiR5PAKVc4dEhf166dvnWyQjyRvXv1WqJt2x6d5NJg0JWmrWRV4HTzZvry1EVH65x2ZiVL6gLGQgiRjDlwCg3VbxJSwCxHkvVNIsPs3q3LqZhHmYoUgYIFM6QpqwInLy+9YP3aNR0MpebaNV1rL2mCzmvX9GsRQohkypTR13FxcONG2m8sIluTwElkmAkTdND0+usweTKUKpVhTVn1ta5XLwgP17vkNm1Kef/mzXqnXWSkzkEFOjXB4cNQvbot3RVC5EguLonBkkzX5UhKSeAkMtBff0G1anoXWgYGTWDliNPYsXqR999/Q7t2eldd0nQE16/rP5IGDfS5oNMQ5MsHL71kv84LIXIQDw89LH35MtSt6+jeCDu7elV/NhiN4O3t6N6IHCc+Xi+kzoTFc1YFTvny6am6Dz6Ab7/VfwzXrye/f8AAPVqWL58+Vq8enDtnhx4LIXImDw/9DUtGnHIk82hT1aqJpQmFsJvq1fU0fyawulZdvnw6xcCUKTpX06VL+riHB9SvL38YQognJDvrcjSZphMZatAgXcT3zJkMr3dpc5HfPHngmWfs0RUhRK4mgVOOJoGTyFCDBsGuXXqB9Zw50L49ODllSFM2B05CCGEXEjjlaBI4iQxVsaK+Pn8eOnfWWbrLlEk9tYnBoEemrGRT4BQaClu26Pe5tBJ0Ggw6e7gQQjySBE45VnQ0nDihf5bASWSI8+cTf1ZKpza5eDH1c21cQG514BQQoEfDTCZ9W6nk9xsM+pgETkKIdJHAKcf691/9WVGsGLi7O7o3IkfKxN1nVgVOM2dCYKAOitq3hxo1MixBpxAitzAHTrdv69IEssMkx0g6TSelVsQXX3zBt99+i1KKNm3aMGvWLAy2/mJkYvFDqwKn777T04dBQdCypZ17JITInQoX1sFSVJQedapc2dE9EnYi65uE2fXr15kzZw7//vsvLi4utGjRgt27d9OkSRNHdy3drMocfuaMLuArQZMQwm4MBpmuy6EkcBJJxcfHEx0dTVxcHHFxcZTMZiWWrAqcChRILC0lhBB2I4FTjiOlVrKX4OBgOnfujLu7OwaDgdWrV6c4Z+7cuZQvX548efLQqFEj9uzZk+7nL1GiBCNHjsTLywt3d3fatGlDpQzOu2RvVgVOzZsn/iEIIYTdSOCU44SEwJ07enlHjRqO7o14nMjISOrUqcPcuXNTvX/ZsmUEBAQwYcIE/vnnH+rUqUP79u25du2a5RwfHx+8vb1TXEJDQ7l9+za//fYb58+f5/Lly+zcuZPg4ODMenl2YdUap/HjoXFjXW5lwAB7dyl7mjt3LnPnziU2NhbQQ5FxcXEO7pUQ2YuxdGmcAFNICAny95MjHDigl649/bROqSP/rZknPj4egPDwcO7du2c57ubmhpubW6qP6dixIx07dkzzOWfOnMnAgQPx9/cHYP78+axfv54FCxYwZswYAA4cOJDm45cvX07lypUpWrQoAJ06dWL37t20aNHiiV6bI1kVON27p9MRvPGGXiD+wgvg5ZV6nimAbPTvYbWhQ4cydOhQLl26RNmyZdm1axf5zIX6hBDpUvHuXWoBV/ft4+//+z9Hd0fYyU8/6Wv5L81c9+/fB6BmzZrJjk+YMIGJEyc+8fPFxsayb98+xo4dazlmNBpp06YNu3btStdzlC1blp07dxIdHY2Liwtbt25l0KBBT9wXR7IqcGrZMjFP06+/6ktaDAZdtDi3adKkCR7maQchRLoYoqLgu+8ooxTPP/+8o7sj7KB/f1i9Gj7+WJcSE5nn8oMp76NHjyb7PEprtOlxbty4gclkolSpUsmOlypViuPHj6frORo3bszzzz9P3bp1MRqNPPfcc3Tp0sWq/jiKVYFTixaSi+NxnJ2dcXFxcXQ3hMheHuRiMYaGYpS/nxxh3z6dYaJWLZD/0szl7Kw/4gsUKEDBLJRscfLkyUyePNnR3bCaVYHT1q127oUQQkDi4vDQUEhISHv+X2QLkZFw6pT+WXbUZX/FixfHycmJsLCwZMfDwsIoXbq0g3qV+aTIrxAi6yhTRg9nx8XBjRuQzfK7iOSOHNFLOkqV0heRvbm6ulK/fn02bdpE165dAUhISGDTpk0MGzbMsZ0DCA+HefPgjz8eX0TXUUV+hRDCrlxcdLAUFqbf+CRwytYkf1P2ExERwenTpy23z507x4EDByhatCheXl4EBATQv39/GjRogK+vL4GBgURGRlp22TlMaKjOzH3hQsriuQ/LjCK/5gLDHh7g5JR2weG0eHk9abeEELmWh0di4FS3rqN7I2wggVP28/fff9OqVSvL7YCAAAD69+/PwoUL6dWrF9evX2f8+PFcvXoVHx8fNmzYkGLBeKYbNw7OnwcfHxgzJkOL6KYrcCpfXi81OHoUqlbVt9MbsOXWXXVCCCt5eMA//0gSzBxAAqfsp2XLlqjHjNgMGzYsa0zNJfX773o+eMsWKFQoQ5tKV+Dk5aUDIPOOCPNtIYSwO8keniMkJMChQ/pnCZxEhrt9G55/PsODJkhn4HT+/KNvCyGE3UjglCOcP6/X6rq6QrVqju6NyPHKltXReiaQvb5CiKxFAqccwTxN9/TTkr9JZIIePWD7dp0DI4NZFTgdPmzvbgghxAMSOOUI9lzfdPXqVdufRORsH36oR5169oQkBYczglXpCHx8oH598PeH3r2hcGH7dkoIkYtJ4JQj2CNwioqKIiAggIiICBYtWoRREqKKtAwbBpUqwapVULkyNGiQdhFdgwG++87qpgzqccvnU1G6tA7oDAZwc4OuXXUQ1bat1f3IMcxFfkNCQvD09HR0d4TIfu7cgSJF9M/370PevA7tjrBOxYpw7hxs3gxJdrc/UkJCQorgaPfu3dSvX19KWFkhV30eGY2JRXQfx2AAk8nqpqwacbp8WVe5/v57WL8efv4Zli3TXxRfe00XdaxUyeo+CSFys0KFIF8+HTRdvqy/PYps5d49HTRB+kaczAHTw0GTUorGjRsDsH37dpo3b27vroqc4vvvM60pqwInJyfo3FlfbtyAJUt0nw8fhsmT9aV5c3j9db1eK18+e3dbCJFjGQz6W9ipUxI4ZVPmNASenlC06OPPNwdMP/zwA9u2bcPHx4fu3btTpkwZAGbMmMFXX33FvHnzaNeuXUZ1W2Rn/ftnWlM2TxgXLw7vvKPns/ftg6FD9Sh7cLCevnvwey+EEOkn65yytSdd3xQeHs4LL7zA2LFjcXFxYdKkSfj5+bFmzRoAmjVrRuXKlVm3bl0G9ViI9LPrSru6dWH2bF0yZvhwPdUYEWHPFoQQuYK7u76WwClbSi1wUkqR8CDPzsNLa7ds2cLp06fZsGEDX331Fdu2bcPd3d1S7qNRo0b4+Pjwzz//sGfPnkx5DSIbi42FXbtgxQp92bVLH7MTuwZOoaEwdSrUrq0DKNDTekII8URkxClT3L59O0Oe1xw41a6tr5VSGAwGjEYjkZGRxD70IXb+/HmioqLw9vYGoGbNmgQEBBAeHs6nn34KQMeOHXFxcWH58uUZ0meRA8TH67QEJUvqgr+9eulLs2b62PjxdqkBZ3PgFBurF4Z36ADlysEHH8DJk7qm3bRpT14QWAghJHDKWBEREXTr1o2ZM2c+ti7ZkzKZEnP9mUecDAYD58+fp3v37vj6+tKjRw+WLFmSrD+enp6cPHnScqxWrVr4+/sTGBgIwLPPPkudOnXYs2cPR48etWufRQ6QkABdusCUKXp3QuHCehqsbl398717egH2iy/anGHc6sBpzx4YMkSnJvDzg6AgvQj89dfhzz/h2DEYNUrfL4QQT0QCJ7t6ODjKnz8/gwYNYvz48RjsXHj09GmIitJZJKpU0cfu3buHn58fJpOJGTNm4OLiwsiRI5k+fToA3t7e3L59m0PmVeWAq6srXbt2JSYmht9++w2ADh06YDKZZNRJpPTtt7Bhgx7BWbECbt6Ev//Wl5s34ddf9X0bNtiUwwmsDJyefhqaNIH583XKlebNYeFCuHoVvvlG3yeEEFaTwMkuzGuKUguOOnTogIuLCwcOHLBrm+bYx9s7canG+vXrCQ0NZdq0aXTo0IFly5YxevRoJk6cyOHDh+nSpQt58+YlKCiIsLAwy3N5eHhQs2ZNzp49C0CbNm2oWbMm27dv58KFC3btt8jmFi/W0frmzdCtW8r7X3oJNm3SyScXLbKpKasCp2PH9Pva++/rbxdbt0K/fpKnTghhJ+bAKTQ00wp35kTmbf4//vgjAQEBLFu2jKioKMv9w4cPZ+DAgfzzzz92azPpwnBz4Hbnzh1iY2OpXr06AM7OzowYMQJ3d3dmzJgBwKBBg9i9ezdr1661PJeLiwv79u3Dy8vLcrtTp07ExMSwefNmu/VZ5ABHjkDLllC+fNrnVKgArVvrc21gVeC0YQNcuAAff6yzwwohhF2VKaPzOcXHw/Xrju5NthUWFkbLli0ZM2YMV65cwd/fn759+/Lnn38C8PzzzwN6V9uTSkgloFVKJQuczIFbmTJlcHV1Ze/evQDExcUBMG7cOFauXEloaCj+/v7Uq1ePadOmsWDBAi5cuMCCBQuoV68e9erVs7TRpk0brl27liwAFIKYGJ0893EKFNDn2sCqwKldO/2eJoQQGcLFRe+CAZmue4xHbfNfv349t2/fZvfu3fz0009s2bKF27dvM3HiRADat29PxYoVCQ4O5sSJE0/UrtFoJCoqikWLFrFx40aioqIwGAzJAidzf8qUKUO5cuVYuXIlgKV8Ss+ePQHYtm0brq6uTJkyhS5dujB9+nSaNm3K119/zbvvvmsZcQLYtGkTFy9epIp5AZUQoAv87tr16FIqJhPs3q0zs9pAKiYKIbImWef0WEm3+UdFRVkCFfP1yZMnyZMnDx4P/i0bNWrEsGHDOHnyJN9++y2gg5eQkBA2bdr0RG3PmjWLEiVKMHv2bPr27Uv37t1Zv347ISEAJmrXTlxb1aBBA7y9vQkODubUqVMYDAaUUhiNRnx8fDj4INpyd3dn5syZbNmyhdWrV3PhwgW6PbReJTw8nNmzZ9NWiqOKpNq319v4hw+HByOaycTGwttv63M6drSpqXSVXGnd2voGDAa9HksIIZ6Ihwf8848ETo9gMBg4e/Yso0aNIiQkhCpVqjBgwABatmwJwM2bN/Hw8CAsLIxSpUoB0Lx5c1q3bs28efMYMGAA3bt3Z9GiRWzbto0XXngh2ehOWsLCwvjpp5+YPHkyw4cPZ+PGjfz3v/9l0CB/4DTlyztZZk0SEhJwcnKia9euHDp0iClTpvD9999jMBgICwvjxIkTjBgxAkgMBEuXLk3pB1uy4+PjcXZO/Kjq06eP/f4BRc4xZgwsXQpffQVr1sArr+g1TQBnz+q8SaGhugbQ6NE2NZWuwGnrVusbkCk9IYRVsvGI09WrVy0f/BnpypUrdO3alcqVKzNy5EhmzJjBm2++yahRo3j99dfx9fVl0qRJhISEWAKnEiVK0K5dO3bu3ElwcDAtWrSgR48ezJo1i82bN/Paa689tt29e/eyf/9+/vjjDwDatm2Ll5cX9eo1BaZRp84Yy7nmAr6tWrXi1q1b+Pn5ER0dTbt27Vi9ejWVKlXC19cXSH33X9KgSYg0eXjoBdgvv6xHlWbOTH6/UuDlpVMVmN9brJSu30gr1g0KIYRtsmHgFBUVRUBAABERESxatMiyODqj/PLLL8TFxTF//nxKlizJc889x+TJk3nvvffo1asXAwcO5L333mPt2rXUrFmTfA8qrlevXh1XV1du3boFQK9evViyZAmbN2+mU6dOFCtW7JF9d3Z2plixYly6dInq1auTkJBAtWrVqFr1bQ4cmEONGsOA/JZzzde9evXCYDCwYcMGZsyYgY+PD/PmzbNMJQphk4YNdQbu5cv1iI/5vcPDQ++4e/llcHW1uZl0BU7PPmtzO0II8WSyQeBkHk0xy5s3L/3796d+/foZGjSZ271z5w5Go5GSDxbSFy1alFGjRrF06VKmTJnC5MmTeeedd/jxxx9p3ry5ZV1QgQIF+Pfffy2Pc3Nzo3v37nz//fccOnSI5557LtXXZ+bm5kb58uX5448/qF69uuWcuLjXgGnAZqALCQkJ7N27l40bN/LBBx8Aek1Vz549iYmJwc3N7ZHtCPHEXF2hTx99ySDymyqEyJqycOBk3sX28Ie9UorGjRvj4uLC9u3bbXruRzG3W6BAAfLly8exY8cs7ZcqVYohQ4bw3YPsyKNHj6ZMmTJ8/PHHrFq1ihs3bvD111/Ttm1bS14lgO7du3PixAkiHlRmHzx4MKNGjbLcbzKZMD3YsfTMM89QpEgR/vzzT0vCyrg4xalTJYDWnD69xtKf/fv3M378+GQJK5VSuLm5YTKZJGgS2Y5datVlYBFiIURulYUDJ/MH/Q8//MCAAQOYM2cOV65csazRmTFjBv7+/gQFBVn13FFRUSxfvpx9+/almS8JoEqVKhgMBrZt2wYkrhHq3r079+7dIygoiLx58/Lll19StmxZ3nvvPWrVqsWyZct46623KFq0qOU5N23ahMFgsKyFatmyJd999x137tyxLPB2cnIiOjoaV1dXOnXqxNmzZ1mxYgUAJ08aiI01YjSGUb26ByaTCScnJ55//nnWrVtHuXLlUmQyd3JykqBJZDtW/8ZmUhFiIURuZQ6c7tyB+/cd2pWHhYeH88ILLzB27FhcXFyYNGkSfn5+rFmjR1qaNWtG5cqVWbdu3RM9b0JCAlOnTqV48eJ88skntG3blkGDBnHkQaZj84iPOfDo0KEDxYsXZ/PmzYToPAAAFCxYkKeffpozZ84AUKdOHRYtWsTatWtZsWIFFy5coGOSLdkRERFcunSJmTNn0rhxY0CveypQoADLli3DaDRy5MgRunTpYtkB17dvX3x8fPjss8/Yu3cv+/bFAmdwc7tP48aNcHpQb8XLy4tOnToBKUfohLBaxYpQqRKcO5d4O72XSpVsa1tZwWRSqmNHpYxGpQwGpYoWVap+fX0pWlQfMxqVev55fW5uEhISogAVEhLi6K4Ikb0lJCiVL59SoNSpUw5oPkGZHryBJSQkJLtvzZo1qlq1aurw4cNKKaX+/fdf5efnpypWrGg5Z/To0app06bqr7/+SnebJ06cUPXr11cLFy5UsbGxaunSpaply5aqefPmKc41923x4sWqcePG6sMPP7Tcd/DgQZU/f34VHBycov9Hjx5Vr776qvL391fz5s1L8dri4+NVXFycUkqpn3/+WZUoUUK1bNlSFSxYUL366qvq8OHDlsdcuHBB9ejRQ5UoUUKVKdNIQV5VtWo/defOnXS/ZpFxcvTnkTnQOHEi8XZ6L0ajTU1bFTj997+67QoVlPr115T3r1yp7zMalfr6a5v6l+3k6F9UITJblSo6cNq6NVObTRpMREREqOjo6GT3z5o1S3l5eSU79vfff6sSJUqoadOmKaWU2rp1q3r22WfVyJEj093uggULVMGCBS1BkVJKbdiwQRUoUED98MMPSqnEgMkc3ERFRampU6cqZ2dnNXz4cPXLL7+o559/Xj3//PPq5s2byZ7/yy+/VB4eHqpv375q3LhxqnTp0uqVV15RR48eTfG6V69erRo0aKCcnJxU27Zt1eXLl1Ptc2xsrNq3b5+qVu0LBYfU/Pnpfrkig+Xoz6Pz5/Xlwd+B5XZ6LzawKnB65hn9RfDcubTPOXtWqbx59bm5SY7+RRUis7VsqQOnH3/M9KbPnTununXrpmrWrKleeOEFS+CilFKTJ09WTZs2VSfM33aVUjExMWrUqFGqdOnSlmNvv/22atGihfr333+VUipZQJSa+fPnqzp16qhLly5ZjkVGRqoBAwaoqlWrPvKxc+bMUd26dVPly5dXffr0UaGhoZb7EhIS1I0bN1Tz5s3V9OnTLcePHz+uihcvroYMGWI5FhwcrGrUqKFKly6tAgMD1dixY1X16tUf2bZSSpUurf+r/vzT9NjXKTKHfB5lDKsmnDOxCLEQIjdz0ALxe/fu4efnh8lkYsaMGbi4uDBy5EimT58OgLe3N7dv3+bQoUOWx7i6utK1a1diYmL47bffAL0GyWQysXz5ciDtNT7qwWLvwoULYzAY2Ldvn+W+fPny8eqrrxISEmIpzquUYvfu3Xz11VeW8wYPHswvv/zCsWPHWLJkCVFRUURGRgJ6TdSJEyfYt28fXbt2BSA2NpZq1apRtGhRli9fblmP5erqynvvvce///7L8OHDmTJlCpcvX37keq1r1+DqVYAEatc2ylomkfmCg3UOp8c5dUqfawOrfrszsQixECI3c1DgtH79ekJDQ5k2bRodOnRg2bJljB49mokTJ3L48GG6dOlC3rx5CQoKsmzH1931oGbNmpw9exaANm3aULNmTbZv327Zjt+/f38CAwMBXU4kISHBstvsxRdfJCYmhuDgYO7du2d53nLlytGgQQNLpu64uDhWr17NsGHDuHLlCqCDMicnJ7788ksqVqxI7969adOmjeUxTz/9NEajkR07dgA6QNqzZw8lS5akevXqrF69GtD17Pz9/SlatCjxD3b49O3bl+HDh6f572Uu7Fu5spH8+a3+ZxfCei1bwqefPv68zz6DVq1sasqqwCkTixALIXKzTA6czAHMnTt3iI2NteQ5cnZ2ZsSIEbi7uzNjxgwABg0axO7du1m7di2gR4GcnJzYt2+fpd6bi4sLnTp1IiYmhs2bNwNQs2ZNy8iV0Wi0BDwxMTHkyZOH7t27s2XLFrYkKdlQrFgxzp07h+eDN1RXV1e6d+/OunXrKFOmDEop9u7dS8OGDfnpp5+YNGkSX3zxBa6urnz++eecO3eOQoUKERAQwBtvvEG/fv3o0aMHzZo144UXXqBChQpcvXrVkknczDxyNGPGDKZMmZLmv5s5cKpTx/p/eyFs9mDkNqNZFThlYhFiIURuZsfA6VH5kMzMgUKZMmVwdXVl7969gB7hARg3bhwrV64kNDQUf39/6tWrx9SpU/n222+5ePEiCxcuxNvbG9cHZR0SEhJo06YN165dIyoqCoA333yTmJgYfv/9d4xGIwcOHKB37958+uDb8jvvvEPx4sX5/PPPLYktDx8+TP78+alWrZqlrw0bNuT5558H9FRcZGQkr776KuvWrePVV1+ladOmjBgxgn379pH/wTDQpEmT+Oabb4iPj6dAgQLs2LGD0aNH8+yzz3L8+PFkeZ2S/nvkzZuXV155Jc1/W/OMpQROIsu7fRvy5LHtOaxZGHXpkk47YDQq5emp1MiRSs2dqy/vvquPGY1KFS+uz81NZDGeEHa0a5decfzQDjZr3b9/Xy1cuFAFBQWp+/fvp7jfvKts9+7dqkWLFmrMmDHJjkdERKgCBQqopUuXKqWUunz5snrnnXdU9erVVYkSJVSePHmUs7Oz+uyzzyzPuWbNGpUnTx71v//9z3Lss88+U15eXqp9+/aWbf4nTpxI1n6bNm1U6dKlVatWrVSePHnUm2++mWqfze7du6fu3r2b7NjgwYPVmDFj1NWrV9N8XHR0tPLz81MdO3a07NR7UrVr6/+mNWuserjIIDn+8+jChcSLwaDUyy8nP5b0cuaMUmvXKlWggFK1atnUrFWBk1JK7dmjVLlyiSkRkl4MBn3f3r029S1byvG/qEJkposX9Seys7PNSeECAwPVU089perVq6dKliypOnbsaMlzFB8fn+zc+Ph4NWTIENW0aVN18uRJpZQOnu7fv6+aN2+uRo8ebTn35MmTqlWrVspoNCo/Pz/LDjqzJUuWqK+T5GVZvXq1ql27tjIajeqll15KM+fR3bt3VVBQkPr444/VwYMHLcfMHs6/lNSiRYuUwWBQpUqVUk2aNFGVKlVSX375ZbJz7t+/rxISElRQUJCqU6dOssDuScTEKOXiov+bbNzlLewsx38eJQ1AUgtGUrsYDEp9+qlNzVodOCml/2CWLFFqwACdELNjR/3zkiX6vtwox/+iCpGZYmP1Gx0o9YhRk8e5evWqatSokQoMDFRKKRUUFKS6d++uKlWqlOJc81b6oKAg1axZM/Xaa68ppXSgcu7cOVWyZEm1cuVKy7GpU6eqokWLqoULFyqldH6lGzdupHjeDRs2qPLlyysPDw81ZcoU9Z///Ec1btw4WZtpWbt2rfL19VUtWrRQgwYNUmFhYameZw6m9u3bp37++Wd1+/Ztde3aNTVhwgRVtWpVtXPnTqWUUqdPn1ZffPGFaty4scqbN6/64IMPVFRU1CODsbQcOKD/ewoX1jlLRdaR4z+PypVTqnx5fTEalcqfP/H2w5eqVZVq3VpPjdn4i+psyzRfJhQhFkLkZi4uUKqU3ut++bL+2Qp79+5l//79lh1mbdu2xcvLi6ZNmzJt2jTGjBljOddcdLZVq1bcunULPz8/oqOjadeuHatXr6ZIkSKWNUMGg4GXXnqJXbt2sWfPHgoXLsx///tfYmJiKFu2LK+99hotW7YE9ILugIAAXn31VQoXLkxISAhVq1bl0KFD1K5dm/j4eJydU74lr1u3juHDh9OnTx/c3d357LPPOHbsGJMmTaJVq1bJiuSaS7HUq1ePevXqWerFtW/fnh9++IHr168DUL58eQoWLMhLL73E77//TsGCBa36d4XEheG1a8OD5oXIHOfPJ/5sNMLLL8OCBRnerFWLww8ftnc3hBAiDelYIJ7awu+knJ2dKVasGJcuXbKcX61aNd5++23mzJlDREREsnPN17169eKnn34ib968zJgxg3PnznHy5El+/vlny/nVqlXDx8eHFStWMGLECBo1akSrVq24cOEC3bt3J/hBzphWrVrx1ltvUbhwYQDKli1Lhw4dGDhwYLJ2H7Zo0SK8vb35+OOPGTx4MNu3b8fNzY3AwEDi4+MfmTPJXC/u6NGjmEwmatWqZTn++uuvM2rUKAoWLIjJZEqxUD69ZEedyBK+/x7+859MacqqwMnHB3x94auvdP1NIYTIMOkInMzBQ1oBlJubG+XLl7eMOJnPf+2117h586YlVUBCQgJ//fUXn3zyieWxPXv2ZMGCBezbt4+8efPSunVrQkJC2L17t+WcHj16MGjQIFasWMGECRP44IMP2LJlC15eXnz33XfcSeONcvr06bzzzjtpvq67d+8SHh5OvXr1LMc8PT3p27cv586dY8mSJYBOZplUbGws165dIzQ0lI8//pjPPvuM4cOHU6FChWTnKb1cAycnJ8to1ZOSwElkCf37wzPPZEpTVgVOJUrA33/DsGHg7g5+frBxo727JoQQpDslweDBgxk1apTltslkwvQg2dwzzzxDkSJF+PPPPy0JK5VSlChRgtatW7NmzRrLsf379zN+/HhLwkrQiSrv3btHhQoVePXVV4mPj+fXX3+13F+rVi3eeustS4Bjbnfw4MEEBQWRN2/eVPtcuXJlevfuneZrKlSoEPfu3ePSpUvEJMkm/Nxzz1GzZk1L0sqk6Q8ANm3axNtvv02DBg349ddfmTFjBiNGjEjx/AaDweqACXTaHAmcRJawaxe8/jrs3Jn2OX/+qc/Zs8empqwKnC5fhjVr4MUXdaLLn3+GDh3AywvGj4czZ2zqU7Y0d+5catasaVnPIISwD+Xurn9II3AyBwstW7a0jO4kJCTg5OSEk5MT0dHRuLq60qlTJ86ePcuKFSuAxKAhLCwMDw8Py3qg559/nnXr1lGuXDkSEhJQSuHs7ExoaCgnT56kf//+1K5dm7/++ouQkBBLH0qWLGnpk9FoJCEhgRMnTuDm5kZ0dLTVr79fv36sXr2aa9euWY55enri7e3NzZs3OXr0KHFxccyaNYsffvgBgObNm/PCCy+wbt06Dhw4wAsvvKD/Le2cIPDKFbhxQy8vefppuz61EE/m669h6VKoWjXtc6pWhR9/hG+/takpqwInJyfo3BlWrtTvZTNngrc3XLoEkyfrvrVsCYsXw/37NvUv2xg6dChHjx5l69atju6KEDlGQkIChgcjTgkP1idB8gDAPO3Wq1cvChQowLJlyzAajRw5coQuXbpYRlr69u2Lj48Pn332GXv27CE2NpazZ89y//59atWqZVkPVLZsWTp16mR5bvOIzJ49e/D29gb01JyLiwvTpk0jICAgWcbtuLg4DAYDwcHBBAcHM2HCBAqlp0ZVGvz8/FBK8eOPP1pKoIBOgHn8+HHKlClDXFwc3333HStXruTu3bvkz5+fvn37Ur9+fZRSlhEwW0aXUrNwob729IQ0BtWEyBw7d+p1RMWLp31OiRJQty5s325TUzZXYixeHN55Rw/X7tsHQ4dCkSK6hp6/P5QpY2sLQojcymg0cvHBiNKl3buZPHky9+/ftwQA5qDAHFBMnz6dDz/8kFatWvHMM89QuHBhhg4dilKKggUL8v777+Pr68sLL7xAixYtqFevHtevXycwMJA33niDa9eupQguzEFaaGgolStXthw/ceIE33zzDTt27MDFxQWA4OBghg4dSuvWrenUqRNt27alZ8+eNv0bFCpUiHfffZfAwEBLnTmAixcvki9fPu7fv0++fPmYN28eCxYsSBakKaUwGAyWoNCelIJ58/TPERGZVu1CiNRdvgzlyz/+vHLlIDTUpqbsWsK6bl2YPVv3afhw/YeUZLOKEEI8ke3bt/OfDz8EoERcHDNnzqR79+789ddfQGJ9OGdnZ9asWcPnn3/OrVu3cHFx4dixYyxevBhvb29LMOTl5cXSpUvZsGED3t7elChRgjfffJO+ffsSFBREjx49LDXizFOA5sdu3ryZW7du4evrS9u2balSpQpPP/00r7zyiiVYefrpp7l79y7PPvssV65cYcqUKTz11FM2/zuMGzeO2rVrM3jwYCZOnMj333/P1KlTGTBgAB4PRuSaNWtGsWLFko3G2XuEKamgoMTZ01u39G0hHMZo1PXeHicuDpKM3FrFpixQD7l8WakpU5SqVi0xQaeLiz1byPpyfMIxIewsteSP5kSMAwYMUF1bttQZFkGdPHBANW3aVL388suWc4KDg1WNGjVU6dKlVWBgoBo7dqyqXr36Y9vt3r276ty5szKZTMpkMqmQkBDVpk0b1aVLF0vpkYSEBEv/+vTpo/LmzatGjBihLly4oO7fv6/8/f1Vs2bN1JUrV1JtIz4+3qqkkqkJCQlRkydPVu3atVNVqlRRn9qY/dgacXFKHTum1LJlSpUpY/lvUUajUg0bSgLMrCZXfR7VqqVU6dL6lzQtcXH6nBo1bGrK5hGn2FhYtkwvDi9XDj74AE6e1Oucpk3ThX6FEOJh6sHIiHmN0u7du7n44A3DYDBw9+5drl27RgUfH8iXD4Aq+fLx2muvcezYMX788UcAXFxceO+99/j3338ZPnw4U6ZM4fLly6xbty7Nts3b/OvWrYvRaMRoNKa6zT8uLs7Sv88++4yTJ08yc+ZMvLy8yJs3L02bNsXLyytZHijAsqjclm3+D/P09GTcuHEsW7aMkydPWnYQqgyYI1NKjyZt2ADTp0O/fnpGIX9+qFEDevXSC8PNEhJg714ZdRIO1L49XLsGEyemfc6kSfqcDh1sasqgrPyr27NHLwz8+We4e1f/oRUoAD176t1+TZrY1K9s69KlS5QtW5aQkBA8PT0d3R0hsrzAwECmT59OwYIFSUhIoFOnTsyYMQODwUDTpk3x9vZm/pYtGE+fhi1buFChAiNHjiQuLs6yHd/MnH17yJAhbNiwgbNnz6bZbpMmTXj66aeZO3cubm5ugP77HTlyJNHR0cme25ydWz1YM2S+jouLs6xvymxpZRp/UnfvwpEjOrHx4cOJP9++nfr5efPqWZH795Ova3Jygnr14K+/JIN4VpGrPo9CQ/Uutbt3oUsXGDgQqlfX9x0/Dt98A2vX6kDlyBG9o8FKVv3VPf207of5j6ZFCx0svfyy7KwQQqTf7NmzWbRoEdOmTaNNmzZ89dVXrF27lrVr1/Liiy/Ss2dPpk6dypeVKuF2+jRcvky5li2pW7cu//d//8fRo0epWbOm5fnMo0MzZsygRYsWj2y7X79+fPjhh0yYMIGyZcsCidv8f//9d44ePUqVKlWYN28eRYoUoV+/fpbHmkeRzEGTOZVBZnrSoCk2Vr9vJw2ODh9Oe1bAyUnPHNSqlXjx9tYzCs8/n/J8kylx1Kl9eytekBC2cHeH5cuhe3edL2nt2uT3m0d3li+3KWh68FxPzmBQqmxZpT74QKkzZ2yaKsxxctWcshA2iIqKUvXq1VMBAQGWY0ePHlWVK1dW+/btU0opdfPmTVWwYEF1tF49vZjmwbqejRs3qlKlSqkLFy5Y3f6dO3dU0aJF1dSpUy1rmpTSxXiLFy+ubt26pSIjI1WtWrVUly5d1L1796xuKzOZTEqdPavUmjVKTZ6s1CuvKPX000o5OyeuSXr44umpi7SPGqXU4sVK7d+vVFRUyudOSNBrmYzG1J9H1jplLbny8ygkRKl33tHrmPLl05fq1fWxixft0oRVI04bNkDbtjIcK4RInXowlfUot27donTp0pZM3gA//vgj1apVw9nZmYiICIoWLcrgwYPZMncuNcCyjevu3btER0fbtH4o6Tb/xo0bW5LXJt3mX6RIEebNm0eNGjUoUKCA1W09qT/+gLff1ruU27RJ+7wbN1KOIB05kvZu5kKF9KjRw6NIRYqkr1+xsXqEKq3SgAkJEBKiz3sw+ylECi+99BJbt27lueeesySkNfvtt9949913SUhIYPTo0QwYMODJntzTE774wo69TcnqNU4idblqTlmIhzwcMN27d4+CBQumeh/AggUL+Pjjj6lVqxZBQUGUKlUKb29vjh49Su3atVmzZg0JCQnMrFCBkRcvcsbHh9DZs3n33Xdp3rw5M2bMsLnP7dq1IyQkhF69elGuXDk+/vhj/P39+fBBGoS0XltGUQoaNdLTXg0b6jVDUVFw7FhicGS+XL2a+nO4uOhF3EkDpFq19GeKrS8hJASuX0/7/pIlbZ8JEfaRVT+Ptm7dSnh4OIsWLUoWOMXHx1OzZk22bNlCoUKFqF+/Pjt37qRYsWIO7G0qbBmuuntXqblzlerTR6l27Syj6EoppU6cUOr331Mf7s3JcuXQqBAPWbt2rfL19VUtWrRQgwYNUmFhYcnuT7pF/8qVK6pr165q0qRJKiIiQkVHR6vt27erPHnyqKVLlyqllLowc6ZSoA499ZQqXry4ev3119XNmzft0tessM3fLCFBT5Ulnf5yd097agyUqlBBqS5dlHr/faV+/lmpI0eUio112EsQWUhW/jzasmWL6t69e7Jjf/75p+ratavl9vDhwy3vAVmJ1VsygoJ0cd/bt/Wfr8GQWIsT4MQJ6NoVfvpJ77QTQuQO69atY/jw4fTp0wd3d3c+++wzjh07xqRJk2jVqpVlh5pZdHQ0Bw8eZMyYMZZkkd7e3tSpU4fdu3fTu3dvvB5s061RqBAXT5+2FM1VdhgFMm/zHzJkCIULF7Yct8dzP87163pkyXzZsyflaI45yXHx4smn12rV0ht1MnEGUeQCwcHBTJ8+nX379nHlyhVWrVpF165dk50zd+5cpk+fztWrV6lTpw5ffvklvr6+NrcdGhpqSegK4OHhweXHFPe2aN06/Q0ZDLBp0xP2LpFVgdOxY/DSS3oee/BgePZZndcjqfbtdeqVNWskcBIiN1m0aBHe3t58/PHHAHTu3Bl/f38CAwNp3rx5it1gBw8epGDBgskK4Z4+fZrr169basYpd3cMgPO1azi7uWEymTAYDMkCMFuZgybzNn97B0337umyVEkDpQsX0vfYpUvhlVdkXanIeJGRkdSpU4fXX3+dbt26pbh/2bJlBAQEMH/+fBo1akRgYCDt27fnxIkTlkLXPj4+yeoqmgUFBeFuLtptb+mpE2swJI702MCqwGnKFIiO1rv6zP+uDwdOrq663t7Bgzb1L9uKj48nLi7O0d0QIlPdu3eP6OhofH19Lb//pUqVom/fvsyZM4clS5bQp08fYmNjcXZ2xmg00rp1a2bNmkVAQAB9+vQhPDycpUuX0rx5c3x8fPTzFC+Os8GAIT6euMuXoXRpAEvxWnuz9W83JkavQdq3D/75R19OnUpZzy1vXqhSRec/qlsXvv8eTp/WW/vNnJxg7ly9y1oCJ/EkzMFLeHg49+7dsxx3c3Oz5C57WMeOHenYsWOazzlz5kwGDhyIv78/APPnz2f9+vUsWLCAMWPGAHDgwAGr+uvu7p5shOny5cvpH8l6UCophYQE/Q3lt99g5UoYOxbatbOqf2ZWLQ739NQLAP/5J/GY0QivvQYLFiQe691bT+ndvGlTH7MV82K8pUuXku9BtmMhhO3a+/uT5/Zttn7+OXeTFNsVQqTu/v37+Pn5pTg+YcIEJj4qw/YDBoMh2VRdbGws+fLlY8WKFcmm7/r378+dO3dYs2ZNuvu2detW5syZk2JxeI0aNdi6dWvGLA6fPRtGjdI7LurUsfpprBpxun4dmjV7/Hnx8RAZaU0L2V+TJk2SzdUKkVt89913fPLJJ+zYsSPZ38D06dPZtGkTgYGBVKpUiW+//ZZChQole2O/e/eupWAukGw9lFOFCnD7Ns0qVEClloExEygFZ88mjiL98w8cOqSzaD+seHE9kmS+1K2rv3Cm9bytW8OBA6lv9Tca9Qj+5s0y6iTSzzx6c/To0WR/i2mNNj3OjRs3MJlMlCpVKtnxUqVKcfz48XQ/T5s2bTh48CCRkZF4enqyfPlymjRpgrOzMzNmzLCshRw1apR9d9S9/TZ8+aUuy7JqldVPY1XgVKhQYlXsRzl7Nu03ipzO2dnZYaUYhHCk3r178/777/Pzzz8zcuRIy5qm+vXr88UXX1i2RX/77bdUqFCBbt26WXIkFS9eHEg9E3d0iRLkAZzDwvR++0xw+XLyNUl798KdOynPK1AA6tfX6QMaNgRfX/DySn+QExOjp+ge9UXzzBkdYLm6WvVSRC5k/tsrUKCAJS1IVvDHH3+keV+XLl3o0qVLxjVepw5s22bTU1gVONWrB8HBOhGal1fq5xw5otc3vfSSLd0TQmQ39kgsmTRoioqKIiAggO7nztEGEreZPaHHJZW8eRP+/jt5kJS0kK2Zm5se/TEHSQ0bQrVqelTIWm5uur3H5UeSpJLCkYoXL46Tk1OypLUAYWFhlH6w7jDLu3Ur7Qyx6WRV4DRggF671Ls3/PqrZZ2mxY0b+hyl9LUQIncZN24cW7duZfDgwZbEklOnTmXAgAGWKYNmD+b7H972/3C6grx589K/f38alikDEyakb7j7IUrBuHF6R/C4cTrB5P79yYOk1OoBG416y7+vb2KQ5O2dMaM+ZcvqixBZlaurK/Xr12fTpk2WNU4JCQls2rSJYcOGObZz6REcDNu36286NrAqcOrRQxf0Xb4cKlWCZ57Rx//8Uxcl3rpVB3R9+kixRyFyqwULFrB48WK2bdvG0qVLefPNNxk1alSK88xBkzlgejjFgFKKxo0b6wq1YFXgFBSkgyPQ14UKpdzhBlC5cvKRpLp14UFqKSFyhYiICE6fPm25fe7cOQ4cOEDRokXx8vIiICCA/v3706BBA3x9fQkMDCQyMtKyy85hPvoo7fvCw/W3pt9/14sIbR3RsTZzZny8UuPG6fp5BkPyi5ubUiNH6nNym6ycqVUIR7h9+3ay2wmPqQC7ePFi9Z///Ed9+eWXKjQ01HJ8+aBBSoEKL1fuidpPSNDZtR/OuO3urlTXrroQblCQUrduPdHTCpHlWfN5tGXLFgWkuPTv399yzpdffqm8vLyUq6ur8vX1Vbt3786A3j8hg0Gn2H84IEl6cXJSasQI25tSyrZadbdv6/QJZ8/qQK5sWXjuudy7KDyr1gYS4lFUJmTJNieWTEt4eDi9e/fmwIEDdO7cmRUrVuDt7c0777zDiy++yKGff6Z2797cd3MjX5JkmY+iFPTrB0uWpLxvwwYZERc5W676PJo4Me3dGK6uurRJ69Z2KaQoRX7tLFf9oopsbevWrWzcuJHJkydnWptKKZRSGI3GFMHa2rVrGTVqlCVgOnr0KJMnT2b37t2cOXMG7t6FB9m9/962jQYtWjyyrbg4eOMNnVTyYU5OepPLX3/J9n6Rc8nnUcawX70CIUS2smvXLipVqmQJZjKaOVAyGo1ERkYSGxub7P7z588TFRWFt7c3ADVr1iQgIIDw8HA+/fRTKFgQU548AGxavPiRbYWHQ+fOqQdNoDNz792r1z4JIXKAjz6CL77IlKYkcBIih0tILaMiMHbsWF5//XUMBkOGT9OBXgR+/vx5unfvjq+vLz169GBJkjm0iIgIPD09OXnypOVYrVq1LHXuMBhwepD/JHTvXo4ePZpqO6Gh0KKFXgdqMKQ9omQ0wocfpr5IXAiRzXz0kc35mdJLAichMsDVq1cd3QUL8y613bt3c/ahPfdbtmyhS5cu/P333wAZOvJ07949/Pz8MJlMzJgxAxcXF0aOHMn06dMB8Pb25vbt2xw6dMjyGFdXV7p27UpMTAy//fabXqcAFI2KYvny5Sna+PdfaNxYZ+AuUQKKFEk7MEpIgJAQXaxcCJHNlSypiz9mAqvSEQghUmdO1hgREcGiRYtSbK13hJ9//pl3330XV1dXTCYTr7zyCm+88QaVKlUiMjKSK1eusHbtWho0aJChI0/r168nNDSUBQsWUL16dZ577jnmzJnDBx98QIcOHejSpQuTJk0iKCiI5s2bW8o6eHh4ULNmTR30PQicvIsU4avt27lw4QLlypUD9CaVl17SS6GqVYP//Q+cnSWppBC5QvPmsGdPpjTl+Hd1IbKxh6fBzMkaFyxYkKlBU1ojRaGhocyePZs333yTPXv28O677xIcHGxJVvf888/TqFEjtm/fbsndYu9RJ/O/0Z07d4iNjaV69eqALgcxYsQI3N3dmTFjBgCDBg1i9+7drF271vJ4FxcX9u3bh5eXlyVw8ilZkpiYGDZv3gzA0qV6h9zdu7qO5p9/QoUKepdv0npxD19kvawQOcT48Xqe/oMPMnz+XQInIaxgDgbSStbo4uLC9u3bM7wfSikSEhJSjBSZ+xccHMyBAwcYPnw4JUqUYPjw4YwZM4bt27fzyy+/YDQaadu2LbGxsalOfT1OauunHg68zP9GZcqUwdXVlb0PMlHGxcUBOsv4ypUrCQ0Nxd/fn3r16jFt2jQWLFjAhQsXWLBgAfXq1aNevXqWwKmckxPXrl3j/v0opk7VyXbj4nRi3o0bwZ51QYUQ2cC+fTr3yNSpULMmjB0L//0vLF6c+sUWNmeCEslIAszcJa1kjZ9//rmqVKmS+v333zOlH8ePH1cTJ05UP/zwg7p8+bLl+KJFi1SNGjXU1atXLcfCw8PVq6++qmrWrKmUUioyMlL5+/urdu3aJXsN6XX//n21cOFCFRQUpO7fv5/ifnPCy927d6sWLVqoMWPGJDseERGhChQooJYuXaqUUury5cvqnXfeUdWrV1fu7u7Ky8tL/frrr/rJfv1VKVA3q1VTefLkUZ06BVkSWr77rlIm0xN3X4gcK1d9Hj2cANNofPTFBlaNOBmNephbiNwqPDycF154gbFjx+Li4sKkSZPw8/NjzZo1gK7DVrlyZdatW5eh/TCZTIwdO5a6devy119/MXr0aDp16mSZwnJxcSFPnjzsSTL3nz9/fvz9/Tl9+jS7du0iX758PPfcc9y7d49ff/0VSP903axZsyhRogSzZ8+mb9++dO/e3TLSZjKZgMSSKg0aNMDb25vg4GBOnTqFwWCw5HTy8fHh4MGDALi7uzNz5ky2bNnC6tWruXDhAt26dePBnQC4Xr9BlSqzWb++LQaDLtz7+ee2FdoVQmRj/frpS//++mK+ndbFFtZEW/nzK9Wnj00BW46VqyL8HC4hIUGZHgxhPFwmZM2aNapatWrq8OHDSiml/v33X+Xn56cqVqxoOWf06NGqadOm6q+//sqwPp4/f17VqlVL/fDDD0oppQ4cOKBeffVV5eXlpW7fvq0iIiJU9erV1ejRo1V4eHiyxzVr1swy+nPr1i3Vu3dv1alTpxQlUtJy9epV1ahRIxUYGKiUUiooKEh1795dVapUKcW55n/HoKAg1axZM/Xaa69Z7jt37pwqWbKkWrlypVIq9ZIscXFx+oeLF5UCFWdwVgZMKk8epR48TAjxEPk8yhhWfT+rUgWuXbMtYBMiK1O2JmsEOnbsiIuLi1Vrh9Jr586dhISE0LNnTwDq1KnD7NmzCQ8PZ/r06Tz11FP06NGDP/74gx07dlgeV7p0aW7evIm7uztKKYoUKUKbNm24c+cO//vf/yz/Bo+yd+9e9u/fz3/+8x8A2rZty+TJk7l9+zbTpk1Ldq55LVSrVq0YNmwYixcvpnfv3nz//fcMHz6cSpUq4evrC5Dqzj5zqZYTd0uTgAFnFU+NotcsO+mEECKzWBU49e0L27fDmTP27o4QWYPNyRqBZ599ljp16rBnz540kzWmRj1Y8J0epUqVwmQycenSJQBiY2MpXLgwI0aMYMGCBdy8eZO33nqL/PnzExgYSFhYGAAXLlwgJiaGihUrWgKVDh06EBcXx/Hjx9OVTdzZ2ZlixYpZ2k5ISKBatWq8/fbbzJkzh4iIiGTnmq979erFTz/9RN68eZkxYwYFChRg+fLleDxY+J2WHTug6bMuhKHTFGz47jKNG6frn0kIkdNVrAijRz/+vLFjoVIlm5qyKnB65x299bd1a70NOJ31NoXINuySrBEdjJhMpnSPOiUd6YqLi+P27duPPD9v3rx4e3vzyy+/AODk5ATAW2+9xe3bt9m2bRslS5ZkzJgx3L17l4YNG9KvXz9atGhBnTp1eOaZZyzP5e7uzp07dyhdurSlD5B25nE3NzfKly/PH3/8ASTunnvttde4efOmZZ1VQkICf/31F5988onlsT179mTBggXs27ePJUuW4OHh8chgcflyaNMGbt2CO0/pAKus8fIj/22EELnI+fOPTtpmduOGPtcGVgVOlSvDwYM66+6rr8JTT0GZMjrge/hiY2AnhEOYkzVOmzaNDh06sGzZMkaPHs3EiRM5fPgwXbp0IW/evAQFBVlGceChZI1AmzZtqFmzJtsfJGt8HIPBwK1btxg0aBBVq1ala9eufPHF/7d312FRZ10cwL8zQyugiBIiih3YCgYoKnYiKDbi2rpr51pr66rrvua6dq0d6+qaiNiN3WtggIGCIBIz5/3jOgMDQzjEEOfzPPPA/PLOb+rMjXN/U51D2eFaydHREWXKlIGfnx9CQ0Mhk8kQFxeHAgUKwMXFBYcOHQIgArh9+/ZhxowZMDQ0xJIlS7Bnzx4U+DZpLgAsXrwYX79+haurq2rZoEGDMHbsWNV9uVyuKkP9+vVRsGBBnD17VlU+IkLhwoXRuHFjVUd5IsL169cxZcoUtWtARDA0NIRcLodCodCY94oIWLQI6NwZiI4G2rcHyrh9q5l6xYETY+w7ff0qMuOmg1aB07NngPLzj74NBg4JEcs13RjLKTI0WeO3+61bt1ZL1piaESNG4ObNm/jjjz9QrVo1rF69GgMHDgQQX6MEiMDD1NQUzZo1w6dPn7Bq1SpVWcPCwhAaGqrqw0REsLKygo+PD/788094eXmBiNQCsb59++L58+dwdHRUXQc3NzesWbMGnz59gkKhgEwmg0wmw9evX2FgYIDWrVvjv//+w65duwBAVVMVEhKCokWLQi6XQyaToVWrVjhw4ACKFy+uOrayiVAmk2kMmuRyUbs9apS4P3QosHs3oGfPgRNjTAtyOXDlipiPKR20CruePk3XORnTCU21GsqmMSVNyRpr166N2NhYGBgYYOLEiRg2bBhmz54NX19fnD9/HnPnzoVMJkOTJk2wefPm+GSN37i7u2Ps2LGIiopKtYzXrl3DP//8g127dqFRo0Zo1qwZ/v33X7Rr1w67du2Cl5dXkrK3bt0a9+/fx/Tp01GlShU4Ozvj1q1biIyMRLNmzTQmxyQitSAMAPLly5fkOnh7e2PMmDHYvn07BgwYgNu3b2PixIkoWrQoVqxYgR49euDGjRuYP38+nJycULVqVTx58gRfvnyBs7Oz6hz29vaqYDItGdWjokRSy717xf0FC4CRI79N2FuUAyfGGER/oYQOH066TCkuDnj0SIxs69YtfefN8nF8uRwP/8zesjRZ4zf79+8nIyMjOnr0qNqxNLlx4wYZGhomSUT5ww8/UOXKlSkqKkrjMaKiosjHx4ccHByobNmyZGBgQOPHj6eoqCiN57t79y717NmTfvjhB1q+fHmSbeLi4lQpALZt20aFCxcmNzc3MjMzo549e9KtW7dU+zx//py8vLyocOHC5OzsTMbGxtSrVy/69OlTso8zJW/fEtWpI+qyDQyItm9PtMG6dWJl06ZaHZ+xvCLXfx8pk10mTn6Z0q12baJ0Xg8OnDJYrn+h5mCLFy+mfPnyUY0aNahIkSLUsmVLCggIICIRKCQUFxdHgwcPpnr16tHDhw+JSAQrX758IVdXVxo3bpxqW4VCQW/evKFLly5pPO/mzZtp1apVaSpjQEAA1axZU7W9Mji5desWSaVS8vf3V9v+9u3bamV+8eIF7dixI8WgZcmSJVS0aFHq0aMHTZw4kaytralLly509+5dtXMSEe3bt49q1apFMpmMmjZtqpaVPKGYmBi6evUq/fbbb3Tz5s00PVZNHj0iKl1axEUFCxJ9e3rUHT0qNviW+Zwxplmu/z7y9xe3kydFUNSyZfyyxLdz50QeuAzAgVMGy/Uv1BxKJ8kak3H58mU6ePCg2jJl4Pbhwwdq2rQp/fDDDxQREaE6x9evX6lhw4bUq1cv1Tm2bNlCEomEwsPD1cqt3CcuLk5tmVwupw8fPpCrqyv9+uuvquX3798nS0tLGjx4sGpZQEAAVahQgaytrWnx4sU0YcIEKl++fIqPKyG5XK527rS4cIHI0lLERCVKEN27l8yGd+6IjczNv+v4jOU1eer7yM2NaN68LDlVurqW794thgk/eACEh2uekFgi4XxPTPeUyRqVQ+ebNm0Ke3t71KtXD3PnzsX48eNV2yr7QjVq1AihoaHo1q0bvn79imbNmmHfvn1pTtaYnOPHj2POnDn4+PGj6lzKvkAWFhaoX78+Dh8+jKNHj8LDwwMSiQSGhoYoVaoUvn79itjYWOjr66NMmTJo2LAh/vvvP1StWjVJ3yGZTIYDBw7A3t5etf7Bgwe4evUq1q5dC0DkfSpXrhwsLCywc+dOtGjRAm3btoWBgQHGjBmD9u3bw8LCAgCwdOlSHDhwAG3btk3x8SU3Qi4l+/cDXbuKvk01awL//ANYWyezsbKPU1gYEBkphvUyxvK2kyez7lzaRFsKBZGXV8pNisp16ZxLL8fJUxF+NpJa7ca///5LNjY2dO9bNYZy+2nTplHRokXVpiNJbPv27eTr60uVKlWi7t2708uXL5Nsk3B6lrQoWLAgbdu2TXX/5s2bqmlTnjx5Qq1bt6YmTZqoHd/R0ZGmTp2qWpba+aZNm0YSiYT69OmjWvbhwwcyNTWldevWqZZdvHiRXFxcyNXVVW1bJWUN2qBBg8jBwSHNjzGtliwRnxUAUatWRCk8FYJCQZQvn9jhwYMMLw9juQV/H33j70+0eDHR3r0ZMhO4VukI/vxT1DZVqQIcOQJ07Chqlh48EL8Uvb3FdpMmAd/S2TCWqXSdrFE5DP/hw4fYunWrKo9TYsqRdWPHjsWvv/6Ks2fPonHjxqhfvz6uXbuGuLg4lCxZEkOGDEFQUBBq1qyJJUuWwNfXF3FxcWjTpk2SxxwXF6fxXIcOHULjxo3x8uVLXLhwAYCo0Ro5ciQGDBiAXr16wcvLCy4uLmjTpg0cHBwQHByM0NBQjdd24cKFmD17tsZzaUOhAMaMAX78UdRW9+8vap7y509lR4mER9YxxtStXw/UqCGmGEjoxx/FSLuRIwFPT6BFC5GWID20ibZcXIiMjIjevBH3e/dOWrP0xx9EMhnRiRPpje1yFo7wdWfgwIE0atQo1f24uDhV36Ho6Ghq1aoVdenShYKDg4lI1OJERkZSq1atVDUtcXFxtGLFCpJIJPTs2TPVsZR9mRL3G1IKDQ0lb29vMjY2pqpVq5KZmRlNnz6d3r59q9ovoZ07d5JUKiVzc3MaOXIkPX78OMkx7927Rz/99BPVrVuX2rdvr5pQODVxcXH09u1b6tKlC23cuJEaNWqkdl2IiDZs2EBdu3al3r17qyYhXrNmjdokxZkpKoqoc2dlFjii2bNFRVKaNWokdvxWS8cYSypPfR+1bk1kZkb09Wv8ssuXRXW2iQmRhwdRsWIiWNm8OV2n0ipwKlBAfG4p+fqKsiT+4KtQgahFi/QUL+fJUy/ULJJaM5hy3bZt26hAgQL08eNHte2VQ/iXLVtGTk5OtHTpUrV1NWvWpMmTJ6uCm+fPn9M///yjduzE50ps48aNVLNmTbp37x59+vSJ/vjjDypRogSNHTtWbbs1a9ZQqVKlqHjx4lSrVi2qU6dOqo9fmTZBoVCkmMpAuQ0RUWBgIFWvXp2IiIYNG0aurq70ItGIkoTH+vr1K3Xr1o1atmyZauf29PrwgcjVVcQ9+vpaxj49eogDzJ2b4eVjLLfIU99HxYsT1a+vvmzUKBGcKFPEvHkjgqjGjdN1Kq2a6qKixBQrSoaG4m94uPp21aqJJJ2MaYsSzN0WEhKCU6dOJdkmYbJGU1NTbN++HVKpFLdv30a7du0wYsQIAECPHj1QrVo1zJ8/H5cvX0ZMTEyyyRpbt26tdmxl01ziTs8KhQIKhQIBAQHInz8/ypcvD3Nzc/Tv3x8+Pj44evSoqhnwn3/+wapVqzBkyBA8evQIJ0+exKVLl3D58uUUr4GRkZEqaaVEIkF4gjcaJRqRoeysfunSJTg6OgIAvLy8oK+vj7lz52LkyJF4//69atuoqCgQEQICAnDnzh389NNPqXZuT49nz4D69cUk4ebmoqm/Rw8tDsRNdYyxhD58AOzs1JcFBABmZkCHDuK+tTXg6go8fpyuU2kVOFlZqc+lV6SI+Ju4LKGhPAEwSx+JRIJnz56hU6dOKF26NFatWoW3b9+qbSOXy1X9fH799VdMnjwZjRo1Qv369VGgQAEMGTIERAQzMzP8/PPPcHJyQuvWrdGgQQPUrl0btWvXhouLS4rlUAZMCxYswA8//IBly5bhw4cPkEqlkEqlePPmDSpUqICYmBjVPp6enrC2tsbq1asBAK1bt0ZAQABGjBgBqVSK/Pnzw8vLCxMnTkz1GkilUhw8eBDOzs5o27YtBgwYgLdv3yYZ1acMpF6/fo3SpUurlj948AB//vknzpw5A319fQDAs2fP8Mcff6BevXpo37492rZtCzc3tyTBWEa5ehWoUwe4fx8oVkx0RWjUSMuDceDEGEsoNla971J0tJhUt149IOEP3sKFRfbwdNB6kt+EfV9r1xY9FVaujF927x7g78+T/LK00/SFHRUVhSFDhiAmJgbnzp3D0qVLUbBgQbVtZDIZ9PT0sH//fixYsAChoaHQ19fHvXv3sHHjRjg6OqoCDHt7e2zduhWHDx9Gly5dcPHiRWzYsAHm5uYplu3169eoVasW1q5di/z582P8+PHo3bs3AgICAABVqlTBsWPH1GqDKleujLp16+LZs2d4+PAhJBKJKmhRlmf69OkICQlBREREiuc/cOAAhg0bhmbNmqFLly44evQovLy8cPLbENzE878pJ/11cnJC06ZNUaZMGVSqVAldunRRPdZixYrBzMwMHh4eCA4OxowZM2BkZKQxxUJ6HToENGgg5rSsWhU4fx74ViGmHQ6cGGMJ2doCd+7E3z91SgRT9eqpbxceLqq700Ob9r25c0Wz4Z074n50NJG9vVhWqxZRx44iN51USrRwYbqaEnOcPNWmnEFS6r+0ZMkSqlq1qqr/0ePHj+nDhw9q25w+fTrTkzUuWbKEatSoQW++jYi4dOkStWnThmrWrElERC9evCA9PT1VigFl/6EDBw5QmTJl6MyZMxrPm1aenp7Utm1b1f2goCByd3endu3aqfokJewL1r17dzI2NqYRI0bQ8+fP6cuXL+Tr60suLi6qx5BYXFxcqn2otKEcKKKcJSUsLAMOeuGCOKCdXQYcjLHcKU99Hyk7W8+ZQxQYKOZtkkqJrlxR365kSaJvn9va0ipwev6caOZM9fKcP09kZaWey6lDB6JEg4lyvTz1Qk2nxCPNfv/9d9r+bWIy5bqff/6ZfH196c6dO+Ti4kJly5alihUr0ujRo+np06dERHT+/Hlau3atWkBlampKf//9d6plSC14UQYSytFtCZ08eZIMDQ1px44dRETUqVMnqlGjhlon7CdPnpBEIqE7yl8ZyUipQ/anT5+oWbNmajmciIjWr19PlStXVuVkio6OVq179epVktfgn3/+Sd26daNHjx4leYyZETApFEQTJ8aPnPP1JYqJyaCDBwWJg8pkGZKXhbHcKE99Hz16JEbVSaXxiSSbNVPf5sEDsXzIkHSdSqumOnt74OefRYZfpTp1gKdPgX//BbZsAa5dEzObJ5qAnTEVZWfsWbNmoXDhwpg6dSrk39qoletu374NAJg3bx7q1KmD3bt3w9fXF35+fqq+QXXq1IGvry8sLCxUfZ169OiBYcOGpXj+tGS4VjZbSSQSmJubIzg4WLXOyckJnp6emDVrFgCR5+jp06dYuHAhHj16BADYtm0bGjRoACsrqxTPk1KHbHNzc4SHh+Ply5eIjo5WLW/SpAkqVqyIffv2AQAMDAxUj8vW1hZFvzVn0bcmUB8fH2zZskWt75PysWV081xMDNCrF6BM+zRtGrBmDfCtpTL9rK1FvwW5PN39FRhjuUDp0sC5c4CPD9CypfjQ+fbZqHLihOgr8G3wj9bSFXaxJPJUhJ9OAQEBZGJiQhUqVKAtW7aorVPWwPz5558kkUioZMmSahm7ly9fTlWrViU/Pz8iiq8ZUtYgffnyhf766680lePSpUtqOZsSUh5v2bJlVL16dTp27Jja+gMHDpCpqSldv36diEQtUI0aNahMmTLk5ORE+fPnT/MEvylZvnw5FSpUKElKgRkzZpCLiwvduXOHYmJiaPHixbRhwwYi0jyPHlHSmr6M9umTGO0LEOnpEa1dm0knsrERJ0lcFc8YIyL+PsosWtU4JRYTA7x5I0bRMZZWUVFRyJcvH3755Rd069YNoaGhOHfuHMLDw1U1MJ6enrC1tYWZmZmqRgUAGjRooDoGEF8zpKxBMjY2RpcuXVI8/4kTJ+Ds7AxnZ2fs2LFDYwZu5XG7deuGz58/48SJE/j8+bNqvZ2dHUqXLq2qYerVqxf++ecf1WN69eoV+vXrp9X1Sahbt24gImzZskWtnLVr18b9+/dhY2OD2NhYrFmzBrt378bnz5+TrUWSZWI1cFAQ4OIC+PmJDOAHDwK+vpl0Mu4gzhjTgXQFTps3A05OYo5NOztg9Oj4dXv3At26ieY7lvdQCkPaleuUTV1jx47FqFGjUL16dfTv3x9lypTBwoUL8e7dOxQsWBB9+/bFw4cPcfr0adUxYmNj8eDBAxQuXFir8gUFBWHdunVwcXGBl5cXNm3ahNevXyfZTiKRQC6Xo0CBAvD29sbJkydx5MgR1fq4uDjcvHkTDg4OqsdmY2ODrl27YtiwYTAzM4NcLk/3EH9zc3OMGjUKixcvxpkEUwq8ePECJiYm+PLlC0xMTLB8+XKsXbsWpqam6Trf9zh+HKhYEfjjD9Fkf/u2yPN2+jTQrFkmnpgDJ8aYJsom/Bcvkr+lh7ZVVT/8EN//ytRU/PX1jV9/+7ZY9uuv6awTy2HyetVo4uahsARDqDQ1HR06dIgcHByoVatWdOrUKTp//jxNmzaNSpYsSZMmTVLtV7duXXJ0dKRFixaRn58ftWjRgnx9fdU6RH+Pr1+/0s6dOykoKIjev39PEomE1qxZo7GzuLJpKyQkhLy8vKhUqVK0Y8cOevToEQ0ePJhatWpFHz9+1HgtMrrTddOmTal8+fI0depUWrt2LTk4OND06dM1njsrKBREtWuLFjOpVPytVEkMIMl0gweLE/78cxacjLGcJ899H126JKYrMTaO7ySu6SaTpes0WgVOmzeLoKhKFdG9QKFIGjgRiWlh0pnZPMfJcy/UZPz999/k5OREDRo0oP79+1NISIjaeuUXe3BwMO3ZsyfJSK9BgwaRm5sb3b9/n4iIHj58SCNHjqT69euTjY0N9enTRzUPXEbw9vam2rVrJztUX+nly5fUs2dPqlKlChUqVIiqVKlCZ8+ezbBypCYoKIhmzZpFzZo1ozJlytC8efOy7NyJRUWJ/kvKUXOA+EzQEENmjlmzxEl7986iEzKWs+Sp76Pz50XApBzWb2FBVKJE8rd00GpuhVWrRP+Ff/4RGYCTU7mySITJ8hZlssbu3bvD1tYW8+fPx7179/DLL7+gUaNGaqPZrKys0K5dO1W/G7lcDplMBmdnZxw4cECVrFHZfPf27VuYmprC2NgYQPyULNqKi4uDnp4eZs6cibJly+LMmTPw9PRUO+bLly/x7NkzuLi4oGjRoli7di3evn2LT58+oWLFilqfWxt2dnaYOHEiBg8ejAIFCqiWp/c6JBYdDbx8KW5BQUn/BgUB32ZuUZFIxKi59OaWSzNuqmOMKU2dKqYq6dMHmDVLTHGSSbQKnG7cAJydUw6aAMDCQmQKZnnLhg0b4OjoiBkzZgAA2rZtC19fXyxevBiurq5Jht4n7Kwsk8mgUChw4cIFFClSBPny5VPbtsi3+X3kcrlqKpL00NPTg0KhQOnSpeHu7o4//vgDjRo1QqFChQAAX758weTJk3Hx4kVcuHABZmZm0NPTg62tLWxtbUFEUCgUmdrhWhNl0KQM/L4naIqOBl6/jg+ANAVH2ozwJxLTqhw9CjRv/v37fzcOnBhjShcvAuXKAX/+KX7FZSKtAqfo6LT9qnz3jvM45TVhYWH4/Pkz6tatq1pmZ2eHHj16YOHChdi8eTN69+6NmJgYtVFyMTEx+PTpE+Li4rB27Vr4+flh7ty5yXZyzshAhb513J49ezacnJxw7do1ODs748qVK3BxcUHz5s1RoUIFGBgYJKnZkUgkmRI0HT8O/PQT8L//Ae7uyW+XOAiNiYkPihLWDiUMitL6Y8bISPw4srMTfxP+X7So+GF386b69FAyGTB5sugUnsmfXRw4McbixcUB1aplwQePloFT0aKpN8ERAXfvAt8GG7E8InGyRkNDQwAiWeO///6Lffv2oXfv3mrJGqVSKY4cOYI1a9bg3LlzsLW1xe+//44WLVpkSZllMhmICLVq1ULNmjXx448/Ijw8HPr6+ti7d2+qaQ0yGhEwcaJ4j02cCDRpIj4LYmOTBkWJg6OQELF/aoyMRBCkKShS/rWwSP4z6MgR4Pr1pMvlcuDy5SyqdVIGTmFhQGSkGN7LGMubypdP2n8gk2gVODVpAqxeDezfD7Rvr3mbTZvEB3nnzukpHsuJevXqhcmTJ2Pq1Kko9q09187ODo6Ojjhy5Aju3r2LMmXKYPny5ShQoAB8fHzQsGFDBAcHY9KkSahVq5bqWBnddyc579+/x59//okHDx7A0tISI0aMwJgxY9TKASBTyiKXi/d7cLC4HTsmgg9A/C1fHvj8WaxLS1BkaJh6UFSokPY/zIhErZJUCnybW1iNVJpFtU6mpiJYiowUtU5ly2biyRhj2Vr//qKa/skToFSpTD2VhOj7E8w8eiSylkskog9W587iA7l3b2DBAmDHDpHTSSIRkxXb22dCybOply9folixYggKCoKdnZ2ui6MTYWFhKFmyJMaMGYPRo0ermpOOHDmCHj164OHDhzA0NESdOnXg4OCAjRs3qjqBA8jUfkPJNYH5+fmhf//+GD16NAYOHKharuys/r2I4oOdN2/igyJNt7dvNQcgmhgYqAdFmoIjS8vMDViio4HixVNu8rO2Bp49E0FcpipXDnj4UGTcbNQok0/GWM6S576PfH2BU6eApUtFlXcm9RXSqsapTBlgwwYxF9WoUeImkYhlGzaIbfT1xZx1eSloYkLCZI116tSBm5sbAPVkjQULFsTy5ctRoUKFJEFTZvUbSq4JDAAaNmyIx48fq7aNi4uDTCZLUo7oaBEwpBQIKW/fkpqniUQCFC4sKlA0JY1dskT8QLG0FDU6umRoKGrC3r1LfpsiRbIgaAJEc93Dh9zPibG8rmRJ8ffZM6BtW0BPT2Ti1fSBKZGImiktaRU4AUCnTkCFCsDMmcDhw0B4uFhubAw0bSpGBlavrnW5WA43ceJE+Pv7Y9CgQfD29kbx4sUxZ84c9O3bVzX5rIuLCwD15rjMbJY7elS9CUzZD0ehAD58kCE4GHj1Kg7v3ukhOFhPYzD08eP3ndPMTNS+pHYrXFj8OHJ2FkltE3e43rgRGDIkS/o9pomylkvnuIM4YwwQAZMSkegUmlyG8HR+kGodOAGAoyOwbZso44cP4gsoO/wi1oVly5Zh2bJliImJ0XVRso21a9di48aNOHXqFLZu3YqBAwdi7NixSbbLij5MRMCkSeL9omyc9vAQo0PfvUsYqKT+ltDXjw94bGySD4asrAATk7SX8ciR+MAuoSztcJ3TcODEGAOydH43rfo4seTluTblNPj06VOmJmtMiyNHgNQG6RUunLbaoYIFM77mh0jUNl29mnyH65o1RaqS7FLrlC0sWSI6rXXsCOzerevSMJat8PdR5khXjRNjaZGeZI0ZQVnblJhUKkasHT0q+uTo62dpsdTExIha5eQ6iSsUIuVATEwW9R3KKbjGiTGWxbQOnORyYNcuMUrp1SuR6VwTiQQ4cULbs7DcJHGyxqxy9Chw5UrS5QqFyDV2+7bum8CyVYfrnIQDJ8ZYYhcuACdPxn8uFC0qRt3WqZMhh9fqmywsTHzRXL6cel4ZblZgupRcbZNSluUcSoNs0+E6J1EGTm/eiF9zPFUBY9meh4cH/P390aRJE+zatUu1PCgoCD179sTbt2+hp6eHyZMno1OnTmk/8IsXQPfuwLlz4r4yQFF+uNevD2zenO7h/loFTpMnA5cuic+sH38Uo+vMzNJVDsYyRUyMGK2eHG4Cy+GsrUX0K5eLhFg2NrouEWMsFcOGDUOfPn2wQZm/6Bs9PT0sXrwY1apVQ3BwMGrWrIlWrVolmbNUo0+fRK3S06diaoTmzeMTYf73nxj+f+aMyENz5Uq6ZiPXKnDatw8oUEDUhil/8DGWHUkk4rUaHi6G8/fpk3QbbgLLwfT0xPDFN29EtTwHToxle25ubvD390+y3MbGBjbf3sPW1tawtLREaGho2gKnhQtF0NSqFbBqFWBrq74+OBjo1w84dEhsO3261uXXKnFASIio8eKgiWV3a9eK2tsiRYB584AaNZLeeLBJDsf9nBjLMAEBAWjbti1sbW0hkUiwb9++JNssW7YMJUqUgJGREZydnXHp0qUML8fVq1chl8tV03alau9eMTR6x46kQRMgaqe3bxc5k/bsSVfZtAqcrKxETRhj2VlUVPyPikmTeA7YXIsDJ8YyTGRkJKpWrYply5ZpXL99+3aMHDkSU6dOxbVr11C1alU0b94cb9++VW1TrVo1ODo6Jrm9fv06TWUIDQ1Fr169sGrVqrQX/OlToGHDlJPnmZiIbdKZ80mrprq2bUVwFxur2yHc2VlcXBxiY2N1XYw8bcUK0exdtqxoouOnI3eS2thABkD+4gUU/CQzphIXFwcA+Pz5M8KV03sAMDQ0hGEy/RNatmyJli1bJnvMRYsWoV+/fvD19QUArFy5EgcPHsTatWsxfvx4AEBgYKDWZY6OjkaHDh0wfvx41KtXL+07ymRp+5CPi0t3lm6tAqdffgEOHAAGDRJz6XHtU1Lnz5+HyfekjWYZrlQp4K+/xP/Hj+u2LCzzlPn8GRUBvLp0CdcPHdJ1cRjLNr58+QIAqFixotryqVOnYtq0ad99vJiYGFy9ehUTJkxQLZNKpXB3d8f58+fTVVZAJEfu3bs3GjdujJ49e37fzmXKAP7+4tdygoTLakJDRZqCsmXTVU6tAqfly8Xw7XXrgGPHRCd1e/vk59KbPDldZcyR6tatq5qTjWW9uXOBOXPEe+nCBdGHmOVOkvfvgS1bYCeVwqZVK10Xh7Fs49W35uu7d++qfR8lV9uUmvfv30Mul8PKykptuZWVFe7fv5/m47i7u+PGjRuIjIyEnZ0ddu7cibp16+Ls2bPYvn07qlSpoupbtWnTJlSuXDn1g3bqJGZvb91adA6vVEl9/a1bwIABYqSQt3eay6qJVl8n06bFz/kVFASsX590G+X6vBo46enpQZ/bMXXi/Xvg119FH6effxYTT7NcrHhxAID09WtI+T3HmIoy6bCpqSnMslHOoOPJNAG4uLhAkdz0CakZNkx0/j5/HqhaFaheHXBwEOv++w8IDBT5Z6pVE9M0pYNWgdPUqek6J2OZat484PNn8f7w8tJ1aVim487hjGUJS0tLyGQyhISEqC0PCQmBtbW1jkr1jbEx4Ocn+hDt2iUm/rx6NX69VCpqmpYtS3f/Ig6cWK7y+rXodwcAs2aluw8gywmUgVN4OBARAeTPr9vyMJZLGRgYoGbNmjhx4gQ6dOgAAFAoFDhx4gSGDh2q28IBYgb2bdtEU1hAgPqUKw0aZNjUDNzzg+UqM2eKeRPr1wdSGBjCchMzMxEsRUSID8py5XRdIsZyrIiICDx+/Fh1/+nTpwgMDISFhQXs7e0xcuRI+Pj4oFatWnBycsLixYsRGRmpGmWXLRQrJqZeySQcOLFc47//gD//FP/Pnq37uedYFipaFHjwgAMnxtLpypUraNSoker+yJEjAQA+Pj5Yv349vL298e7dO0yZMgXBwcGoVq0aDh8+nKTDeG6WpsBp40bx18MDMDWNv59WvXp9b7EY+37TpokUHc2aiVpZlockDJwYY1pzc3MDKSfHTcbQoUOzR9NcQn/9JUYDLV8OtGiheZvDh4HBg4H589PVATZNgVPv3uLXe506InBS3k8rDpxYZrtzR0x6DYi+TSyPUfZzSmNmYsZYLvPXXyKHU+PGyW/TqBHw8SOwZUvmB069eolASTmZsPI+Y9nF5Mki/UXHjkCtWrouDctyPLKOsbzt5k2gShXAwCD5bQwNRaqCGzfSdao0BU6J8zRpytvEmK5cviymAJJIgBkzdF0aphMcODGWtwUHi1FBqSlaFEjnpMQ8WJvleJMmib89ewKJZhZgeQUHTozlbSYmwIcPqW/34UPKtVJpwIETy9H8/YGjR8WUKpxfLA/jwImxvK1SJeDsWTEfXXJCQ4EzZ4Dy5dN1qjQ11b14ka5zwN4+ffszpgmRGEQBAP36ASVL6rY8TIeUgdObN4BcLmZKZ4zlHZ6eInDq0UNkDjcxUV8fFSWaJaKi0j2lRJoCpxIltO8MLpGIIeKMZbRDh4Bz50T2fGVzHcujrKxEmni5HHj7FrCx0XWJGGNZacAAkcjvyBGgbFmgW7f4mqX798Wou9evRZ63wYPTdao0BU729jyKjmUvCkV8bdOPPwK2trotD9MxPT3A2lp8ML56xYETY3mNsbEImjw8xBx1CxeqrycSE//u3Zu0Nuo7pSlwevYsXedgLMPt2iVGlJqaAuPG6bo0LFsoWjQ+cOKcFIzlPXZ2YsTcgQMi2eXz52K5vb1IitmuXYbUAvGUKyzHiYsTeZsAYPRooFAh3ZaHZRPKakfuIM5Y3iWRiACpXbtMOwWPqmM5zsaNwMOHImAaPlzXpWHZBo+sY4xlAQ6cWI4SHS3mpAOACRMAMzOdFodlJxw4McaePAHGjgVcXERH8LFj49ddvAisWgWEhaXrFNxUx3KUP/4AgoJEq0w6B0aw3IYDJ8bytg0bgIEDxS9sQDTbvX8fv/7LF2DQIJEAs3dvrU/DNU4sx4iMjJ/Ad8oUMYiCMRUOnBjLuy5cAPr2FUHR/PmidolIfZuGDcWkuwcOpOtUXOPEcoz//U+k6ClZEujTR9elYdkOB06M5V3z54tA6eBB0UyniVQKVKsG3L2brlNxjRPLET5+FO8LAPjlF0BfX7flYdmQMnAKDwciInRbFsZY1jp7FnBySj5oUrK2FjMMpAMHTixHWLAA+PRJTEfUtauuS8OyJTMzIH9+8T/XOjGWt3z6lLb53aKigJiYdJ0q0wMnuTyzz8Byu5AQYPFi8f/MmTwNGUsBN9cxljcVKhSf8DIljx+LWqd00CpwGjIEiI1Nfbvnz1OvNWMsNbNni8EQtWsD7dvrujQsW+PAibG8qU4d4MoV4M6d5Lc5e1asT2dgolXgtGIFUK9eylOxHDgA1Kwpsp8zpq0XL4CVK8X/s2fznIksFRw4MZY3DRkimrg8PYHAwKTr790To4okknTnstEqcHJ1FXPo1agh5stLSC4X02B06CA69I4cma7ysTxu+nTRHN2oEdCkia5Lw7I9DpwYy5uaNBEBx8OHotambFkRJB05AlSpAlSuDDx6BIwZI2qn0kGrwOnkSWD8eJF808sLGDFCzB8WFCSCqt9+AwoWBPbvB379NV3lY3nYgwfA+vXi/1mzuLaJpQEHTozlXQsWiCzJ1taiLxORGEF3+zZgYQEsWQLMnZvu02iVx0kqFc0mrq5Az54iv86pU6JZJTQUqFsX2LYNKFYs3eVjedjUqaIGs00b8ZpiLFUcODGWt/XrJxJhXr8O/PcfoFCIYKR2bUAvY1JXpusoLVuKvljVqwM3bohlXbsCmzaJ4IoxbQUGAtu3i/9nzoxf/vHjRxQsWFAnZWI5AAdOjDGJRPQlqlEj6bpPn0RTmHIaCi2kK7x5/Rro1Us02enpiVqxv/8GNm9Oz1EZAyZNEn+7dAGqVgUiIiLQsWNHLFq0CJQ4jT5jSsrAKTiYc6EwxuKFh4tmjBIl0t1cp3WN05EjImh69070s9q2DfjrL2DyZMDXVzTdLVsGGBmlq3wsDzp3Djh4kCCTSfDLL2JZ/vz50b9/fzRp0gQS7uzEkmNlJaq75XKRAMzWVtclYoxlpqtXxTD+kBDx/m/XTr2m6etXYNEi0f8pLEzU8FSsmK5TalXjNHEi0Lq1CJpGjAACAkTCznHjAD8/wMZGdOp1chIdfBlLK7lcgYkTAUCC3r3FwAilFi1aQF9fH4GahpoyBoiqb2VyO26uYyx3Gz1aBBozZgCrVom/tWsD06aJ9ZcviyBp8mTRRFesGLB2LXDzZrpOq1XgNHeumN1g715g4UL1/lYuLqK/U9OmoiN77drpKh/LY/z8pDh1CpDJtgAYie3btyMqKkq1ftiwYejXrx+uXbumu0Ky7I37OTGW+x08KGqSiABTU1HLVLq0qHGeMUM0gTVtKhJOFiwotn34EOjdO92dsLXau2ZN4Nq15LM4FyoEHD4syp7gO4+xFBEBY8aEAHCDsfF4REa+ga+vL3r06IGzZ88CAFq1agUAOHnypA5LyrI1DpwYy/3+/FP8/fFH0Ux3+bJo4rp5EyhXDvDxEf2aGjUC7t8Hhg8HDAwy5NRaBU5nz4r+Van5+WfgxAltzsByMyKCQqFQ/a+0bx9w48ZBSKUfcfr0Bfz11184efIkPn78iGnfql6bN2+OkiVLIiAgAA+4HZhpwoETY7nf1asiEPntN8DQMH55hQpictO4ONE0tm8fYGmZoafWKnD6nqCtQQNtzsByKyKCRCKBVCpFVFSUKnCKiyNMngwAD2FtbYRq1cSXn7OzM4YOHYqHDx9i9erVAIDOnTsjKCgIJzgqZ5pw4MRY7vfunciFpKnZTZkZ3NVVNONlMM62xLKURCLBf//9By8vL7i5uaFXr17w9/fHtm0S3LkDGBh8QI0aRRESEqLax9XVFY0bN8by5csBAJ6enrCzs8OpU6fw4sULXT0Ull1x4MRY7hcTA5iba15nZib+Fi6cKadOV+B05YqYesXDQ0wT07hx0hvPL8YSevPmDTp06ACFQoHRo0fj8ePHGDBgIEaMWAsAaN3aCdevX0JQUJBqn8KFC6NZs2aIjIxEQEAAAMDLywuPHz+Gn5+fTh4Hy8aUgdPr17otB2MsV9I6j9Po0aJpUdlFRSKJ/z/hfU65wxLasWMHYmNjsXLlShQpUgRNmjRB586z8PDhGBQu7I1Nm/qhaNEx+Pvvv1GxYkWYmJgAAMqXLw8DAwOEhoYCALy9vbF582b4+fmhdevWKJxJvyxYDsQ1TozlDY8fAxs3are+Vy+tT6tV4LRzpxjZZ2cn0iPs3g0cOyaSYj56BGzZApw/L2qjmjfXumwsF1EoFJBKpfj06ROkUimKFCkCADA2tsCtW2MBbEX16rORL98sDB8+HFu2bIGrqyuaNm0KADA1NcWdO3dU+xkaGsLT0xPr1q3DzZs30YSrNpmSMnAKDwciIoD8+XVbHsZY5jh7Vtw0kUiSXy+RZH3gtGoVIJOJEXNlyohMz4BImdC0KTB4sAiofv0V6NxZ67KxHEIZFKVEud7U1BQmJia4d+8eKlSogKVLCW/fWsHcfDBu3FgGYBbGjRsHPz8/zJgxAxEREXB1dcWqVavQtGlTlC9fXnVMT09PjB8/HhEREZn58FhOY2oqbp8/i1qncuV0XSLGWEazt9dZk5ZWfZyuXwecnUXQlJxffhEZxBNO0MpyJ+UIuZ07d+Lq1auqVAMJKUfPlSlTBhKJBKdOnUJ4ODBvnnjhjx7tifDwcBw9ehTGxsZYsmQJihUrhjFjxqBKlSrYsWMHfvzxR1hYWKiOeeLECUgkEtjY2GTNA2U5BzfXMZa7PXsGPH2q/S0dtAqcPn8WwZ6SMj1Bwh/+UqkIrpKrRWO5g0KhwJw5c2BpaYmZM2eiadOm6N+/P27fvg0AkH+baFU5v1yLFi1gaWkJPz8/TJsWhA8fRIVAjx5mqFSpEp48eQIAqFq1KjZs2IB//vkHO3fuxLNnz9CmTRvVeSMjI/Hy5UssWrQITk5OWfyoWbbHgRNjLJNoFTgVLiymfVFS5pZ69kx9u8hI0c2A5V6PHz/G7t27sXz5cly5cgXLli3DkydPMHjwYACATCZTbatQKKCvr4+uXbvi6dMgLFsmMr9Onw6Eh4fi/v37cHR0BCBqqPT09FC+fHnUr18fABAXF6c6Vr58+TBq1Cj07t07ix4py1E4cGKMZRKtAqcSJYDnz+PvV68uRtBt3Rq/LDgYOHUKKF48nSVk2drZs2fx6NEj9OzZUxUUjR8/HoGBgdi8eTMAqJrulH87deoEY+P2iImZA0vL4SDaiQkTJqBBgwaoVKkSgPgaqoT09LQeBMryGltb8ZcDJ8ZYBtMqcGrSREz9oqxhatkSsLAA5s0DOnUCRo0SzXSRkYCnZwaWlmU5Tf2VEoqJiYGDgwPevHmjWubq6gpvb2/MmDEDQHzHcGXgExpqhMuXxwNYjLJlgzBhwjgULFgQq1evVuvDxJjWuMaJMZZJtPoJ36WLyC0XFCRqn/LlA9atE8t3747frmZNYMKEDCop04nkRsspp04pUKAAJBIJrl69iqLfvqxMTEzQs2dPbNmyBWfPnkX9+vVBRLh48SKuX7+OW7cG4etXoH79IfD3H4i4uFgYGRmpHZexdOHAiTGWSbSqcapQQUxM7Ooav6xtW5HDacUKYNYsYM8e4MIF4Fv+QpaNffz4McX1Pj4+WLx4MQDRz0ihUKhqotq3b4/o6GgEBAQgPEGHtuLFi6NWrVo4fvw4ACA2Nhb79u3D0KFDsWqVqJ2aPRvQ05PByMgIcrkcCoWCgyaWMThwYoxlkgydq87WFhgwQNQydeggcj2x7Ovz58/w8PDAokWLVOkCNKlYsSJ+/fVXAKIGSiqVQiaTITo6GkZGRvD09MTJkydx8uRJ1T6FChXC06dPYWdnBwAwMDCAp6cn3NwOQC63QdOmpDYBtEwmSzUXFGNppgycgoOBbyM7GWMsI/A3VR6SMDhSKBQwNTXFgAED8PPPP6tqejQFUAMHDkR0dDSOHDkCqVSKwMBAdO3aFfPmzQMADB8+HJaWlliwYAHu3bsHALh16xby58+PcgmSD5qY1MbJk60AALNnc80Sy0RWViInilwOJJgwmjHG0osDpzxA2ayWsBlMKpXi3r172Lp1KwYOHIgpU6Yk2UY5/N/c3Bzjxo1D//790aJFCzRs2BD6+vro0qULiAiFChXC9OnTYWRkhMaNG6Nx48Zo0qQJ3NzcULNmTdXxJk8Woy87dgRq1cqKR87yLD09wNpa/M/NdYyxDJSmzuHKBJfakEiA6Gjt92cZZ8uWLbh69SqcnZ0BACNGjECDBg1w+/ZtbNq0CZcvX8aKFStQokQJVR4lANi/fz82b96Mly9fombNmnjx4gXMzc3Vju3s7Izdu3fj0qVLuHDhAhYvXowqVaqo1l++DOzdK14P3wbbMZa5ihYVo1hevQJq19Z1aRhjuUSaAqcEeQdZDqKcQ+7du3fw9vbG48eP4erqCl9fX1hYWKBSpUrYtm0bjhw5guHDh6sCp3nz5kEikeDw4cMYNGgQYmNjMWTIEDx58gR37tyBubm5xvnpzMzM4O7uDnd3d9X5AVG7NWmS2KZnT6BixSy9DCyvKlpUROxc48QYy0BpbqqTSAAnJ2DlSuC//7JsShiWRkSkClSUTWzKwGby5Mm4evUqpkyZgr/++gs7duxAWFgYXrx4AQBo3rw5qlSpAgsLCxw9ehSHDx8GAOjr62PkyJG4ffs2JkyYgKlTpyIwMBA3b96EVCpVy+SdmDKwkkql8PcHjh4F9PWBadMy7xowpoZH1jGWLXl4eKBgwYLw8vLSuP7Lly8oXrw4Ro8encUlS5s0BU7z5on5xC5dAgYNAtzcgLVrRX+V4sVTv7HMpcx9pJxsVxkwzZ49GwULFsSGDRsQERGBkiVLAgDatGmD/PnzIzg4GKtXr0ZcXBw6d+4MmUyGyMhIHDlyBADQpEkT/PjjjyhQoAAAoFixYmjRogX69esHIOVM3soyEAE//yyW9e0LODhkxhVgTAMOnBjLloYNG4aNGzcmu37WrFmoU6dOFpbo+6QpcBozBrh7FzhzBujdGwgNFf1USpcG3N3FVCvcj0l3JBIJ/vvvP3h5eaFhw4aoUaMGDAwMsHXrVixfvhw9evSAsbExHjx4oNrHy8sLRITly5dDT08Pnp6eKFOmDOLi4nD79m21TOAJ/frrrxg+fHiay3boEHDuHGBkBFVzHWNZggMnxrIlNzc3mJqaalz36NEj3L9/Hy1btsziUqXdd42qq1cPWLMGePMGWL0aqFMH8PMT/VasrYHBg0WXApa13rx5gw4dOkChUGDMmDEIDQ2FlZUVRo4cia5du6J06dKIjY3F3bt3Vfv06dMHX79+RXBwMAICAiCXy1XB1KVLl1S1TImVLl0aXbt2TVO5FIr42qYff4yfPoyxLMGBU+aSywF/f+Cvv8RfzpeVKwQEBKBt27awtbWFRCLBvn37kmyzbNkylChRAkZGRnB2dsalS5cy7PyjR4/GnDlzMux4mUGrdAT58gF9+ogaqPv3gdGjRY3CypUimHJxyehiMiVNeZZ27NiB2NhYrFixAp06dUJgYCA6d+6M0aNHIzIyEhMmTIBcLsfjx4/x5csXAEDlypXRqlUrhIaG4smTJ5DJZPD29oaRkRHi4uLw8uXLdJd11y7gxg3A1BQYNy7dh2Ps+3DglHn27BHzbTVqBHTrJv6WKCGWsxwtMjISVatWxbJlyzSu3759O0aOHImpU6fi2rVrqFq1Kpo3b463b9+qtqlWrRocHR2T3F6/fp3iuffv34+yZcuibNmyGfqYMlq6p5svW1b0gZowAfDxAQ4cAB4+zIii5WxxcXGIjY3NsOMlnsPt8+fPyJcvH6RSKcLCwmBsbAwLCwvExsbC1NQUI0eOxJ49ezB37lxMmTIF5cqVw/Xr13HmzBm4ublBIpFg4sSJOHr0KDZs2ID8+fPDzs4OcXFxsLW1xfPnz1GiRAmtyxsXB8ycCRgbA2PHAmZmQAZeDsZSV6QI9AHg82fEhoaKCJ6lm2TvXsi6dAGIkDCNLb16BXh5Qb5tG8jDQ2fly9HkckjOnBHNOjY2IBeXdE3BoRzA8/nzZ7UpsQwNDWFoaKhxn5YtW6bYTLZo0SL069cPvr6+AICVK1fi4MGDWLt2LcaPHw8ACAwM1Kq8Fy5cwLZt27Bz505EREQgNjYWZmZmqjyD2YWEUpprIw1OnxYdxXftAr58EaPvOnQQ9/Oily9folixYti6dStMeKI+xnSqVdeu0I+KwomlSxHxbfoflg5yOZr17w+jDx+gKfc/AYiytMSxP/7gObe+k83586i8ejWMP3xQLYsqVAi3+vbFm7p1tTrmly9f0K1btyTLp06dimlpGOIskUiwd+9edOjQAQAQExMDExMT7Nq1S7UMEPOZfvr0Cfv3709z2fz9/bF06VLsSiZYWL9+PW7fvo0FCxak+ZhZRasapzdvgPXrxe3xYzFyysFBdBzv3RsoViwji5gz1a1bF0WVTQVa+vr1Kw4fPowSJUqgSpUqOHLkCMaNG4fOnTvDxsYGixcvhp2dHZo0aYKDBw+ie/fu6Nu3r2r/+/fvo2HDhvjrr7+wYsUKxMXFoVChQrh8+TK+fv0KfX19LFiwAC1atMCjR49gZ2eHf//9FyNGjMCePXvUsn5/j5gYoHp14OVLUev044/pugyMaU3P3h548AANS5cGNW6s6+LkeJJTp6CX4Is9yXoAJu/fo7WZGahhw6wrWA4n2bsXsvnzxZdpAkahoag9f77WtXivvjVT3717V+37KLnaptS8f/8ecrkcVlZWasutrKxw//79NB/H3d0dN27cQGRkJOzs7LBz507U1TI41IU0B05xccD+/aJ26ehR0Q/Q2Fg0b/fpI5q4WTw9PT3o6+trta9CocC8efMwc+ZMlC5dGkFBQejYsSNevHiBMmXKYMqUKZDJZGjTpg18fX1x7tw55M+fHydPnkSbNm1Q7FvkWrBgQZQsWRL//fcfSpUqhdOnT2Pfvn14/PgxPnz4gPr166vOWbFiRURGRuLFixeYOXNmuoaCrlgBPHokOoMPGiTyNzGmE3Z2wIMH0AsJ4RdiRnj3Lk2b6e3eDTg7c/NoWsjlwKhRSYImAJAQARIJ9EaPBjw9v7sWT5kyxtTUFGZmZhlS3Ixw/PjxVLfp3bt35hdES2nqHD5ihPgS7NwZ+PdfUZuwfLmoedq0iYOmjPb48WPs3r0by5cvx5UrV7Bs2TI8ePAAly9fRo0aNSD79uaxs7NDt27d8Pz5c9jb2yMoKAgrV65UHSc0NBQPHjyAo6Mjvnz5AlNTU3z58gXly5dXBU0Jk1jmy5cPY8aMQZ8+fbQue2QkMGuW+H/KFBFcM6Yz3EE843z5In49p8XKlWKi5W7dgIMHuYNjSo4eFdXzySECgoJEvxgds7S0hEwmQ0iiibNDQkJgrZwbMg9IU43T77+Lvku1aonapcqVxfLbt9N2knr1tC1e3nT27Fk8evQIPXv2hFQqRdeuXWFhYYFWrVrB398f0dHR0NfXh1QqRaNGjXDkyBG8efMG7du3x+TJkxEZGYm6deti48aNcHFxQaVKlWBpaYmXL1/COFEkk1ISS23873/A27dAyZLitcKYTnHglDGOHgUGDkx9KgiJRNQyWVmJaue//hI3S0ugSxegRw8xBYVEUw+pPOTdO+Dvv4F9+4BvMzWkKpncelnJwMAANWvWxIkTJ1R9nBQKBU6cOIGhQ4fqtnBZ6Lu+Na9cEbfvIZHwXHeJaZrnLaGYmBg4ODjgzZs3qnZpV1dX1KlTB6dPn8bbt29VzXElSpSAo6Mjjhw5gnbt2sHExARr1qzBli1b0Lx5c8yfPx8WFhaYNGmS1u3aafXxIzB/vvh/+nRuGWHZAAdO6fP2LTByJLBli7hfrJgIfubOFfcTNi8pg6F16wAPD/FlsWWLCJzevgWWLhW30qXFMbp3F//nFU+fikBp717g7FmR6O572NhkSrESi4iIwOPHj1X3nz59isDAQFhYWMDe3h4jR46Ej48PatWqBScnJyxevBiRkZGqUXZ5AqVB8eJEJUpof8tLgoKCCAAFBQV9974KhYKIiLZt20bVqlWj/fv3q60/ePAgAaABAwZQbGwsKRQKOn/+PA0dOpQsLS0pNDSUIiMjqXLlytSmTRsKDw9XOy4RUVxcXDoeXcomTiQCiCpVIsrE0zCWdnv3ihdl7dq6LknOolAQrVtHZGEhrp9USjR8ONHnz2L97t1EdnZinfJWrJhYnlhsLNG//xJ1705kYqK+T506REuXEr19m6UPL0soFESBgUTTphFVrar+uAGiGjWIpk8X29jZEUkkSbcBxPJixbT6UNXm++jkyZMEMUBS7ebj46PaZsmSJWRvb08GBgbk5OREFy5c+O6y5WRpCpxY2qX1hdqrVy/67bffiIgoNjaW5HK5KqiJioqiChUq0KhRoygsLEy1z7Nnz6h48eKUL18+OnnyJEVHR9O4ceNIIpFQ0aJF6eXLl0REdPr0aXr//j3FxcWRXC7PnAeawLFjRGXKEBkaivf53r2ZfkrG0ubSJfGitLXVdUlyjocPiRo1iv/irlpVXMfE4uKITp4k2rpV/E3LF/vnz0SbNhE1by6CMeU59PSI2rQh2raNKDIygx9QFoqLIwoIIBoxgsjBQT0AkkqJ3NyIfv+d6Nkz9f127xYBUuLgSblMU0CaBun5Ic+Sx4FTBkvrC3Xu3Llk++3DPGFw8/XrVyIimjRpEtWoUYP27dunWvf582eys7OjihUrUvny5Wnq1Kk0efJksrKyounTp6vVLBFRkvuZQaEQP+aV7/NatcQyxrKFV6/iv7RiY3VdmuwtOppo1qz4X0DGxkTz5xPFxGTO+d68IfrtN/GhkTBYyJ+fyMdH/CLLCVXXUVFEBw4Q/fADUeHC6o/FyIiofXtRe/fuXcrH+Z5avDTiwClzcOCUwZQv1Dt37tCHDx+ISHMA8+nTJypUqBAdPnyYiIiuX79OXbp0oV9++YWIiN6/f0/NmjUjFxcXunv3LhERnTt3jsqXL0+7d++mWbNmUbNmzahMmTI0b968LHp0SR0+rP4+nz1bZ0VhLKm4OCKZTLw4v9XIMg3OnydydIx/IzdtSvTkSdad/949okmTRN+OhB8oNjZEo0YRXb+evX6RffxItGULkZcXUb586mUuWJCoZ0+iPXuIIiK+77ja1OKlgAOnzMGBUwZ7/vw5AaB8+fLRypUrk6yPTfCrd/78+WRvb0/NmzcnMzMz6tmzJz148EAVaF24cIHc3d3J2tqaGjVqRMbGxjRw4ED68uULERF9/PhR7dhZUcOU0OPHREWKqH9mcI0Ty3aKFhUvzosXdV2S7CcsjGjIkPgmIktLos2bdfcmViiIzpwhGjhQBCAJP1wqVSKaM4fo+XPdlO3VK6Lly4maNSPS11cvm50d0dChRMePZ14NnRY4cMocHDhlMOULNV++fNS3b196/u1Nnjio2bdvH1WpUoWkUil5eHjQp0+fNB4vLCyMjh07RjNmzKAbN25o3CY2i5sgLl4UP7SS68v4rRKNsezByYk732myd298UAkQ9e5N9P69rksVLzqaaN8+ok6d4psPlbcGDYhWrSIKDc3cMjx4QDR3LpGzc9IPuooVxYiYy5ez7a9FDpwyR8Ym8ckDUksloExx//PPP2P58uVo3rw57O3tVRP0Hj16FAMGDEBsbCyGDBmCJ0+e4M6dOzA3N9d4bDMzM7i7u8Pd3V11fgBq22V0LiZNFAqRx27BAiAgIPntZDJg8mSgWTNO1cKyCU5JoO7VKzEP0t694n7p0iJhZZMmui1XYgYGQPv24hYWBuzeDWzeDPj7iw+hgABg6FCgTRuR3qBVKyC5lCtyuUgg+W3yXLi6as7CTSTSKCjTBty7p76+Th2RaqFDBzHDPcubdB255RSJR6c9efKEIhOM/lDWKPn7+6si/Dp16pCPjw8FBwertvPz86P//e9/qma2Fy9ekJGRkao2KaXao6wYIZfY169Eq1cTVaigPgCmSRPNtU1c68SynaFDxYtywgRdl0S35HKiZcuITE3j38gTJxJ9a/rPMV68IJo3j6hyZfUPnQIFiPr3F6PaEn5Waup0bWcX3+k6JkY0sQ0Zol4DB4gmuebNiVasIHr9WjePNx24xilzcOD0nebPn08ODg7k5OREderUoePHj6utnzJliuqFunr1aipXrhydPHmSjh07luwxO3ToQE5OTpld9O8SGioG2Fhbx3+GmJkRjRkjPrdq11YfTZx41G3t2tm29prlNXPmiBdmr166Lonu3LpFVLdu/JvU2Zno5k1dlyr9btwgGjs2acBTvLgIChcv1tynQLmsYcOkfany5xfNg1u3ik7gORgHTpmDA6c0unTpEtWqVYuqV69OGzdupLNnz1KDBg2oRYsW9CTB6JOffvpJ7YVqY2NDpqamVKhQIXr8+LHGYz969Ii2bt2aJY8jNc+eEQ0bpj5QpGhRol9/JVJ2w/r6lcjKKuUaJ2trsR1jOrdxo3hRNmmi65Jkvagoop9/FrVLgKhtWro0Zwzz/x5xcUR+fkR9+ohfeCl9OGm6FS5M1Lcv0T//iGuWS3DglDm4j1MaRUZGomfPnvD09FRNgzJixAj069dPbdbpmzdvAgCWLFmCVatWQSaTIV++fFixYgVKlSql8dilS5dGaR1PPXDtGvDrr8DOnaI7ACDmJBwzBvD2Ft0NlAwNgcuXU54ovUiR5LsbMJalbG3F37zWx+nkSWDAADFnHCD6Ci1dCtjZ6bZcmUEmE7PNN2okHuM//wCLFwPnzqW+7//+BwwerLnPE2MacOAEgIhUnbeTU7NmTdSoUUMtSDp69Cj69u2LuG+T8cnlckRFRQEA/v77byxfvhzu7u5wc3PD+fPn0bhxY7X9dY0IOHJEBEx+fvHL3d2B0aNT7uBdrJi4MZbt5bXO4R8+iDfw+vXivq2tCCY8PHRarCxjbAx06iQmSU1L4GRpyUET+y7JDw/LA4gIAFRBU3h4eJJ1SqampqqgZ+PGjZBKpdizZw9OnToFFxcXrFixAjKZDH379gUA/PPPP+jatSsKFy6MZs2a4dChQ3j79m1WPKxUxcQAGzYAVaoALVuKoEkmA7p1EzVPx44BzZvzqDiWSygDp8+fxS23IhKT6pYvL4ImiUTUpNy9m3eCpoTSOiluFk2ey3IPCSWOEPKgAwcOYObMmTAyMkL58uUxY8YMFClSJMl2ypqpa9eu4dGjR2jevDliY2OxbNkybN26FZs2bULRokVRrFgxBAUFwdbWFlKpFBEREYiKikLhwoV18OjihYUBq1YBv/8e/+M7f36gXz9g+HDA3l6nxWMs85iZiaDp3j0RWOQ2//0HDBoEHD0q7leqJN7s9erptly6JJcDJUqIDztNX3MSiWi2fPo019Y4vXz5UvV9ZJcbm2h1JE/XOAEiaBo2bBiaNWuGLl264OjRo/Dy8sLJkycBxOdNAuJrpmrUqAFvb2+YmpqicOHCaN68OeRyOUJCQtSOrcy1lC9fPhQuXFjtWFnp5UtRc1+sGDB2rPgcsbYG5swBXrwAFi3ioInlcrm1uS4uTrS1OzqKoMnQEJg5U1Qd5+WgCRDB0O+/i/8TV58r7y9enGuDJpZ58nzgtGHDBjg6OmLGjBkYNGgQTp8+DUNDQyxevBhxcXEpJruUfXvD3b17F3K5HJUrV9a4nTLgSulYmeHmTaBXL8DBAVi4UPzgrlgRWLsWePYMGD8eKFgwS4vEmG7kxsDpyhWgdm3xaygqCnBzE2/6n39WH82Rl3XsCOzaFf/8K9nZieUdO+qmXCxHy9OBU1hYGD5//owaNWqoltnZ2aFHjx54+vQpNm/eDACIiYlR2y8mJgZv377F69evMWPGDMyfPx/Dhg2Dg4NDlpZfEyLg+HHRR6lqVWDTJvGjtGFDMdDk1i3A15dHvLE8JjcFThERwIgRgLMzEBgofv2sXSs6K3I266Q6dhS/FE+eBLZuFX+fPuWgiWktT4+qMzc3R3h4OF6+fIno6GgYfosmmjRpgn///Rf79u1D7969YfDt15tySpQTJ05gw4YNCAgIQJEiRbBw4UK0adNGlw8FsbEilcCvv4rPUgCQSgEvL9FMV7u2TovHmG7llsDp4EHR4fvFC3G/Wzfgt99E/g+WPJlM1MgxlgHydI0TAPTq1Qv79u1TG/FmZ2cHR0dHfPjwAXfv3kVsbCx+//13bNq0CQDg6uqKNm3a4MCBAwgMDFQFTbroZ//5s/jcLF0a6N5dBE0mJmIqqkePgO3bOWhiLEcFTnK5mI/tr7/EX7kcCA4WCdXatBFBU4kSwL//ilF0HDQxlqXyfODUrVs3EBG2bNmiyscEALVr18b9+/dhY2OD2NhYrFmzBnv27EFYWBjy58+PHj16oGbNmiAiyL9ljEwtF1RGev0amDBBdOoeOVJ8lhYpAsyYIf7/3/+AkiWzrDiMZW/W1uLvzZvxwUh2tGePCIoaNRK1SY0aAYULA6VKATt2iGrk0aOB27eBFi10XVrG8qQ8HziZm5tj1KhRWLx4Mc6cOaNa/uLFC5iYmODLly8wMTHB8uXLsXbtWpibm6u2UaYnkGXSqIzjx0Vn7uPH45fdvQv06SM+W+fOBT59Et0aVq0Cnj8HJk0CChXKlOIwljPt2SOatwAxbL9RI/EG2rNHp8VKYs8e0bb+8qX68o8fgS9fxC+hy5dFe3y+fLopI2Msb/dxUpo4cSL8/f0xaNAgeHt7o3jx4pgzZw769u2rml7FxcUFgHqW8cysYSICJk4UaWcmTAD09IAFC0QXB6X69cWUKG3bih+ijLFElMFI4mb0V6/E8qwaWaVQAF+/iltUVPz/yvuRkUD//przDSnFxIgRH4wxneIEmN+8fPkSGzduxKlTp/D06VP07dsXY8eO1eo4GZFw7MgRzTXxEolIAjx6NFC3rtaHZyz3UyZATFyDoySRAFZWwP79YnSFpsBGU5CjzbpEI3O1dvIkd3JmacYJMDMH1zh9Y2dnh4kTJ2Lw4MEoUKCAanla5rHLaESiJikhiUTM1zlyJFCmTJYWh7Gc6fTp5IMmQLzRgoPFsP6sJJOJ+dSMjOJv0dFAUFDq+755k/nlY4yliAOnRJRBU1xcHPT09LI8aAJEAuBbt9SXEQEdOnDQxFiapTXIsLAQNyOjpAFNwvsprfuebfU0fOz6+4u+V6nhedUY0zkOnJKhp+nDLQsQAZMnix+lCQf+yGRiebNmPPkuY2mS1iBj927dN3+5uops1qnNq+bqmvVlY4yp4S7F2czRo2LgTOLR0nK5WK6cw5MxlgplMJLcLw2JREzgmB2CEZ5XjbEcgwOnbERZ25TcCDmpVKzn7vyMpUFOC0Z4XjXGcgQOnLKRmBiRvFKh0LxeoRD9RzNqgA5juV5OC0Z4XjXGsj3u45SNGBqK5rh375LfpkgRnqCXse/SsSPQvr0YZffmjej75OqafWqaEuN51RjL1vJ04OTh4QF/f380adIEu3btSrL+y5cvqFChAjp16oQFCxZkSZmKFRM3xlgG4mCEMZZB8nRT3bBhw7Bx48Zk18+aNQt16tTJwhIxxhhjLDvL04GTm5sbTE1NNa579OgR7t+/j5YtW2ZxqRhjjDGWXWXbwCkgIABt27aFra0tJBIJ9u3bl2SbZcuWoUSJEjAyMoKzszMuXbqUYecfPXo05syZk2HHY4wxxljOl20Dp8jISFStWhXLli3TuH779u0YOXIkpk6dimvXrqFq1apo3rw53r59q9qmWrVqcHR0THJ7/fp1iufev38/ypYti7Jly2boY2KMMcZYzpZtO4e3bNkyxWayRYsWoV+/fvD19QUArFy5EgcPHsTatWsxfvx4AEBgYKBW575w4QK2bduGnTt3IiIiArGxsTAzM8OUKVOSbBsdHY3o6GjV/c+fP2t1TsYYY4xlf9m2xiklMTExuHr1Ktzd3VXLpFIp3N3dcf78+XQff86cOQgKCsKzZ8+wYMEC9OvXT2PQpNzW3NxcdatYsWK6z88YY4yx7ClHBk7v37+HXC6HlZWV2nIrKysEBwen+Tju7u7o1KkTDh06BDs7O62CrgkTJiAsLEx1u3v37ncfgzHGGGM5Q7ZtqssKx48fT3Wb3r17p7je0NAQhgkyUoaHh6e3WIwxxhjLpnJkjZOlpSVkMhlCQkLUloeEhMDa2lpHpWKMMcZYbpcjAycDAwPUrFkTJ06cUC1TKBQ4ceIE6tatq8OSMcYYYyw3y7ZNdREREXj8+LHq/tOnTxEYGAgLCwvY29tj5MiR8PHxQa1ateDk5ITFixcjMjJSNcqOMcYYYyyjZdvA6cqVK2jUqJHq/siRIwEAPj4+WL9+Pby9vfHu3TtMmTIFwcHBqFatGg4fPpykwzhjjDHGWEaREBHpuhC5ycuXL1GsWDEEBQXBzs5O18VhjDGWR/H3UebIkX2cGGOMMcZ0gQMnxhhjjLE0yrZ9nHIqhUIBAHjz5o2OS8IYYywvU34PKb+XWMbgwCmDKXNLOTk56bgkjDHGmPhesre313Uxcg3uHJ7B4uLicP36dVhZWUEqzRstoZ8/f0bFihVx9+5dmJqa6ro4uQJf04zH1zTj8TXNeBl5TRUKBUJCQlC9enXo6XE9SUbhwImlW3h4OMzNzREWFgYzMzNdFydX4Gua8fiaZjy+phmPr2n2lzeqRBhjjDHGMgAHTowxxhhjacSBE0s3Q0NDTJ06FYaGhrouSq7B1zTj8TXNeHxNMx5f0+yP+zgxxhhjjKUR1zgxxhhjjKURB06MMcYYY2nEgRNjjDHGWBpx4MQYY4wxlkYcODGtzZkzB7Vr14apqSmKFCmCDh064MGDB7ouVq4yd+5cSCQSDB8+XNdFydFevXqFHj16oFChQjA2NkblypVx5coVXRcrx5LL5Zg8eTIcHBxgbGyMUqVKYcaMGeCxRmkXEBCAtm3bwtbWFhKJBPv27VNbT0SYMmUKbGxsYGxsDHd3dzx69Eg3hWVqOHBiWjt16hSGDBmCCxcu4NixY4iNjUWzZs0QGRmp66LlCpcvX8Yff/yBKlWq6LooOdrHjx9Rv3596Ovr499//8Xdu3excOFCFCxYUNdFy7HmzZuHFStWYOnSpbh37x7mzZuH+fPnY8mSJbouWo4RGRmJqlWrYtmyZRrXz58/H//73/+wcuVKXLx4Efny5UPz5s3x9evXLC4pS4zTEbAM8+7dOxQpUgSnTp1CgwYNdF2cHC0iIgI1atTA8uXLMXPmTFSrVg2LFy/WdbFypPHjx+Ps2bM4ffq0rouSa7Rp0wZWVlZYs2aNapmnpyeMjY2xefNmHZYsZ5JIJNi7dy86dOgAQNQ22draYtSoURg9ejQAICwsDFZWVli/fj26dOmiw9IyrnFiGSYsLAwAYGFhoeOS5HxDhgxB69at4e7uruui5Hh///03atWqhU6dOqFIkSKoXr06/vzzT10XK0erV68eTpw4gYcPHwIAbty4gTNnzqBly5Y6Llnu8PTpUwQHB6u9/83NzeHs7Izz58/rsGQMAHi6ZJYhFAoFhg8fjvr168PR0VHXxcnRtm3bhmvXruHy5cu6Lkqu8N9//2HFihUYOXIkJk6ciMuXL+Onn36CgYEBfHx8dF28HGn8+PEIDw9H+fLlIZPJIJfLMWvWLHTv3l3XRcsVgoODAQBWVlZqy62srFTrmO5w4MQyxJAhQ3D79m2cOXNG10XJ0YKCgjBs2DAcO3YMRkZGui5OrqBQKFCrVi3Mnj0bAFC9enXcvn0bK1eu5MBJSzt27MCWLVuwdetWVKpUCYGBgRg+fDhsbW35mrJcj5vqWLoNHToU//zzD06ePAk7OztdFydHu3r1Kt6+fYsaNWpAT08Penp6OHXqFP73v/9BT08Pcrlc10XMcWxsbFCxYkW1ZRUqVMCLFy90VKKcb8yYMRg/fjy6dOmCypUro2fPnhgxYgTmzJmj66LlCtbW1gCAkJAQteUhISGqdUx3OHBiWiMiDB06FHv37oWfnx8cHBx0XaQcr0mTJrh16xYCAwNVt1q1aqF79+4IDAyETCbTdRFznPr16ydJk/Hw4UMUL15cRyXK+b58+QKpVP3rQyaTQaFQ6KhEuYuDgwOsra1x4sQJ1bLw8HBcvHgRdevW1WHJGMBNdSwdhgwZgq1bt2L//v0wNTVVtb2bm5vD2NhYx6XLmUxNTZP0EcuXLx8KFSrEfce0NGLECNSrVw+zZ89G586dcenSJaxatQqrVq3SddFyrLZt22LWrFmwt7dHpUqVcP36dSxatAh9+vTRddFyjIiICDx+/Fh1/+nTpwgMDISFhQXs7e0xfPhwzJw5E2XKlIGDgwMmT54MW1tb1cg7pkPEmJYAaLytW7dO10XLVRo2bEjDhg3TdTFytAMHDpCjoyMZGhpS+fLladWqVbouUo4WHh5Ow4YNI3t7ezIyMqKSJUvSzz//TNHR0bouWo5x8uRJjZ+fPj4+RESkUCho8uTJZGVlRYaGhtSkSRN68OCBbgvNiIiI8zgxxhhjjKUR93FijDHGGEsjDpwYY4wxxtKIAyfGGGOMsTTiwIkxxhhjLI04cGKMMcYYSyMOnBhjjDHG0ogDJ8YYY4yxNOLAKRcpUaIEJBIJJBIJdu3alex27u7ukEgkWL9+fdYVTgtubm6QSCTw9/fXdVEy3YEDB+Dq6gozMzPVc5hZj9vf3x8SiQRubm6ZcnymTvm+fPbsma6Lomb9+vWQSCTo3bu3zsqQ1e/xrH7MvXv3zhGftez78JQrudTPP/+MDh06QE+Pn+LsLjAwEJ6enlAoFGjcuDFsbGwgkUh4Mk/GGMuG+Fs1FzIxMcHDhw+xevVqDBw4UNfFYanYt28fYmNjMXHiRMyaNSvTz+fk5IR79+7BxMQk08/Fsi8PDw/UqVMH5ubmui4KYzkKN9XlQsOGDQMATJ8+HV++fNFxaVhqXrx4AQAoU6ZMlpzPxMQE5cuXh729fZacj2VP5ubmKF++PGxsbHRdFMZyFA6ccqFWrVqhYcOGePPmDX777bc075dae3xy/QMSLg8LC8PIkSNRokQJGBkZoUyZMpg3bx4UCgUA4NWrVxgwYACKFSsGQ0NDlCtXDkuWLEm1bKdOnUKzZs1gYWEBExMTODk5YdOmTSnuc+LECXTs2BE2NjYwMDBAkSJF4OHhgfPnz2vcXtm3CADWrVuHunXrwtzc/Lv6p8TFxWHlypWoV68ezM3NVdfgp59+wqtXr9S2nTZtGiQSCdatWwcA8PX1VZXhe/ofRUVFYeHChahTpw4KFCgAIyMjlCtXDmPHjsWHDx+SbJ9aH6czZ86gRYsWKFCgAPLnz4/atWtj48aNANSvUXrLkfB1ExkZiQkTJqB06dIwNDSEtbU1fHx8klyzxOWPjo7GL7/8grJly8LIyAj29vYYN24cvn79CgAICwvD6NGjUbJkSRgZGaFEiRKYNm0a4uLiND6G73n+Erp79y46deoES0tLGBsbw9HREQsWLIBcLk92H+X5Vq9eDTc3N1hYWMDQ0BAODg4YNGgQgoKCNO5z/PhxtG3bFlZWVtDX10fBggVRpkwZ9OjRAwEBASmeL6Hk3s8Jr29sbCzmzZuHSpUqwdjYGIUKFULHjh1x7969ZI/78eNHTJ8+HbVq1YK5uTmMjY1RsmRJdO7cGf/++2+aypZa3yfle2fatGlJ1sXFxWHx4sWoXLkyjIyMULhwYXh6euLWrVupnvfhw4cYMGAASpUqBSMjI5ibm6NBgwbYvHlzsvuEhoZi+PDhKF68OAwNDWFvb4+hQ4ciNDQ0TY+V5UC6nmWYZZzixYsTADp9+jRduHCBAJCZmRm9f/9ebbsmTZoQAFq3bp3ach8fH43LldatW6c2e3fi5e3bt6cKFSpQkSJFyNPTk5o1a0bGxsYEgIYOHUqPHz8ma2trKlasGHXu3JkaNWpEMpmMANDcuXOTnK9hw4YEgH766SeSSqVUsWJF6tKlCzVo0ICkUikBoJEjR2os66hRowgASaVScnJyok6dOpGzszNJJBKSyWS0du3aJPvg2+zkQ4cOJalUSi4uLtS1a1dydnamZ8+eJX/hv/n69Su5u7sTADIyMqKWLVuSt7c3FStWjACQpaUlXb16VbX93r17ycfHh0qVKkUAqH79+uTj40M+Pj40Z86cVM9HRPTq1SuqXLkyASALCwtyd3cnDw8P1WuhRIkSScqunJW9YcOGSY73119/qa5t5cqVqWvXrqrrPW7cONU1yohyKF83HTp0oCpVqlCBAgWobdu21L59eypSpAgBoOLFi9OnT580lr9u3brUsGFDMjMzo3bt2lGbNm3I3NycAFCbNm3ow4cPVK5cOSpcuLDq9WhkZEQAaODAgel+/pROnz5N+fLlIwBUsmRJ6tKlC7m7u5O+vj55enqqrsHTp0/V9gsPDyc3NzcCQPnz56eGDRuSl5cXlStXjgBQoUKF6Nq1a2r7rF+/niQSCUkkEnJ2diZvb29q164d1ahRg2QyGQ0bNixJ+ZKT3PtZeX3r1atH7u7uZGJiQi1atCBPT0/VtShQoECSx0NEFBgYSEWLFiUAZG5uTq1atSJvb2+qW7cuGRsbJ3nNKd/jJ0+eTNNypalTpxIAmjp1qtpyuVxOHTp0IABkYGBAzZo1I29vbypRogQZGRnR4MGDNT5mIqIdO3aoXh/ly5cnDw8Paty4seq59fX1TbJPcHAwlSlThgBQwYIFqWPHjtShQwcqUKAAlSpVitq1a5fiZyrLmThwykUSBk5ERB07diQANGLECLXtMitwAkBt27alyMhI1bqrV6+Snp6eKvAZOHAgxcbGqtbv27dPFeAl3I8o/sMTAM2ePVttnb+/vyooO3z4sNq6VatWEQAqXbo03bhxQ23dqVOnyNTUlAwMDOjhw4dq65TnMjMzo/Pnz2u8BilRBhalSpVS+1KJiYmhH374gQCQg4MDRUdHq+2X2nVPjkKhoPr16xMA+uGHHyg8PFy1LjY2VhU8NmrUSG2/5AKnV69eUf78+QkA/f7772rrTp06pfoCSRw4aVuOhK+b5s2bU1hYmGpdaGgoVatWTeNzryw/AHJyclL7YfDs2TMqWLCgKvBL/Hq8fPmy6vX4/PlzteNq8/xFRUWpgonhw4dTXFycat2NGzfI0tJSVdbEgUa3bt1UQV5ISIjaut9++40AUJkyZdSO6eDgoPYeTygkJCRJoJWS1AInAFS9enV68+aN2uNt3rw5AaD+/fur7RcREaG6Fr169aLPnz+rrf/06RMdO3ZMbVlGB05Lly4lAGRlZUV3795VLY+NjaVBgwapHlfix3zz5k0yNDQkIyMj2r17t9q6Z8+eqX4UbNiwQW2dl5cXASBXV1e1AP/Dhw/k7OysOh8HTrkLB065SOLA6f79+6Snp0eGhoZqv/YzK3DKnz9/ki8AIlL96rK3t6eoqKgk65UfSqdOnVJbrvzwrF69usbyKL+QmzZtqloml8vJ1taWANCVK1c07jd//nwCQKNGjVJbrvyQmz59usb9UhIVFaUKOv7+++8k6yMjI8nKyooA0JYtW9TWaRs4/fvvvwSAqlWrphaMKsnlcnJ0dCQAdOvWLdXy5AKn6dOnq2pyNBk9erTGwEnbcihfN/ny5aPXr18n2W/btm0EgBo3bqy2XFl+iUSidjyln376KcXXY9u2bZN8CWr7/G3evJkAULFixSgmJibJfsoAKHHgdPfuXZJIJGRra6sWaCbUqlUrAkAHDhxQLTMxMSFzc3ON23+v1AIniURCgYGBSfZT1maXLFlSbfnixYtVr4OEwV5KMjpwKl26NAGgFStWJNknKiqKrK2tNT5mb29vAkALFizQeL5Lly4RAKpZs6Zq2YsXL0gqlZJEIqE7d+4k2ef69escOOVS3McpFytXrhz69OmD6OhoTJ48OdPPV7NmTRQpUiTJcmWn50aNGsHIyCjZ9a9fv9Z43F69emlc7uPjA0D0yVH2Jbl+/Tpev36NUqVKoWbNmhr3U/btOXfunMb1Xl5eGpen5MqVK4iIiICFhQXatm2bZL2JiQm6dOkCADh58uR3H1+TgwcPAgA8PT01pp2QSqVo0KABgOQfa0KnTp0CAHTv3l3j+uSWp7cctWrV0thBuUKFCgCQbN8ie3t7ODo6JlmufD2l9npM+HrT9vlT9sHp3Lkz9PX1k+ynfI0mdujQIRARWrZsCVNTU43baHqdOjk5ISwsDL169cLVq1dVfQczg729PapWrZpkeXLPy+HDhwEAP/zwA2QyWaaVKzmvXr3C48ePAQA9evRIst7IyAidO3dOslyhUKj6Xnl7e2s8dq1atZA/f35cv35d1X8uICAACoUCNWrUQMWKFZPsU61aNVSpUkXrx8OyLw6ccrlp06bBxMQEW7Zswc2bNzP1XMmN0sqfP3+K65VfHMoPpMQcHBxSXB4VFaXqfPzff/8BAJ48eaLqyJz45uTkBAB49+6dxuOWKFFC4/KUKL9EkisrAJQqVUpt2/RSPtbJkycn+1iXL18OIPnHmtDLly8BJP/4k1ue3nIk97owMzMDkPzrIiNfb9o+f8prltx+BQsW1DjcX3nN1qxZk+w1Gzt2LAD1a7Z8+XKULFkSmzZtQq1atVCgQAE0adIEs2bNUo3OzCipPS/R0dFqy58/fw4AKF++fIaWI62Uz4WlpaXqNZCYpufpw4cPCA8PBwAUK1ZM43MhlUoREREBhUKh+qxJ7blPbR3LuTiPUy5nY2ODYcOGYc6cOZgwYYKqdkAbqf26lUpTjsNTW58eRAQgvozW1tZo3rx5ivtYWlpqXG5sbJyxhcskysfq4uKi+lJPTqVKldJ83ORGzSW3PL3l0PZ1ocvXW3opr1m1atU01uok5OzsrPq/QoUKePDgAY4ePQo/Pz+cO3cOp0+fhp+fH6ZPn441a9ZorG3RRk64fhl9rORqCBMyNDTMsHOznIkDpzxg3LhxWLVqFQ4dOpTicGUDAwMAwOfPnzWuV/6izGpPnz7VuFyZIsDIyAiFChUCIH4xAkChQoWydJqDokWLAki+rEB8LYNy2/RSPtb27dtj9OjR6T5e0aJF8eDBg2RTLyS3PKPLoQvaPn/K/5O7Np8+fUJYWFiS5cprVr9+fSxduvS7yqqnp4dWrVqhVatWAIDw8HAsWrQIv/zyCwYMGAAPDw/ky5fvu46ZEezt7XHv3j3cv38f7u7u6TqWNp9Fyufi/fv3iIiI0FjrpOl5UqaQiIqKwoIFC5L9QZXc+VJKVZLdptlhGSP7/qRgGcbc3BwTJ04EAFX1vybKDwJNOVqIKM05WDJacjlUlLmFXFxcVH1rateuDUtLS9y9exd37tzJsjIq+0CEhobi77//TrI+KioK27ZtAyD6emWEli1bAgB27typqnFLD2U/pL/++kvj+q1bt2ZJOXRB2+evYcOGAIAdO3YgNjY2yX7K12hiymv2999/J9sUmVZmZmaYNm0aChQogC9fvuDhw4fpOp62WrRoAQBYu3ZtqvmrUpPSZ9GXL1809hO0s7NDyZIlAWh+rUZHR2Pnzp1JlstkMjRt2hSAeB7TqkGDBpBIJLh27Rru37+fZP2NGzcyvXsE0w0OnPKIIUOGwN7eHhcvXkw2AaTyV+KmTZtw9+5d1fLY2FiMGzcOly9fzpKyJnb16lXMnz9fbdmZM2ewbNkyAMCIESNUy/X19TF16lQQETw8PHDmzJkkx5PL5fDz88OFCxcyrIxGRkYYMmQIAGDUqFFqv4hjY2MxbNgwBAcHw8HBQavO55q0b98etWvXxqVLl+Dr66ux/9DHjx+xcuXKZBM+JvTDDz/AxMRE7doqnT17VtVPKbPLoQvaPn9eXl4oWrQoXrx4gQkTJqg1+9y+fRszZ87UeL7q1avD09MTQUFB6Nixo8aaicjISGzZsgUhISEARMCwaNEijdf39OnT+PTpE2QyGezs7LS6BunVt29f2NnZ4fr16+jXrx8iIyPV1oeHh+P48eNpOpbys2jZsmVqfcoiIyPRv3//ZJODDh8+HIDo25kwmJHL5Rg9enSyA1CmTp0KAwMDjBkzBhs2bNDYFHj79m3s2bNHdd/e3h4eHh5QKBQYNGiQqp8UIF7vgwcPzrE/JFgqdDiij2WwxOkIElu/fr1qeCySGSLbvn17AkDGxsbUtGlTateuHdnZ2ZGZmRkNGzYsxXQEmpLKESU/dFgpueH4iRNgVqpUibp27UoNGzZUJWlMLuHfmDFjVI+zUqVK1L59e+rSpQu5ublRgQIFNA5ZVm6vra9fv6pSPRgbG6uS/9nb2xMgEhpqSpGgbToCIpF7SZnvKF++fFSvXj3q0qULdezYkapVq6ZKMJowDURKCTA3bdqkurZVqlRRu97KdAT6+voZUo7UXjdPnz4lQCTBTCil8qfluMm9HrV9/vz9/cnExESVA6pLly7UtGlT0tfXp44dO6aYAFN5PgMDA6pduzZ17tyZOnXqRLVr1yYDAwMCQPfu3SMioo8fPxIgkrpWrVqVvLy8qGvXrlS3bl2SSCQEgKZMmaLxMX/PdUrt+hIl/165du2aash/gQIFqHXr1uTt7U316tX7rgSYMTExVKtWLQJEIs3WrVtTy5YtqXDhwlS0aFHq06ePxudQLper0k0YGBhQ8+bNqUuXLuTg4EBGRkaqXE7JJcBUPo92dnbUrFkz6t69O7Vs2ZLs7OwIAHl7e6vt8+bNG1UCWwsLC+rYsSN5eHhwAsxcjmuc8pCePXuicuXKKW6zfft2TJo0CTY2NvD398eFCxfg6uqKa9euoVq1allT0EQ8PDxw7NgxWFtb49ChQ7h06RJq1KiB9evXY/HixRr3mT9/Ps6ePYvu3bsjIiIChw8fxsGDB/H69Wu4ublh9erVyQ491pahoSEOHz6M5cuXo2rVqjh9+jT27t0LfX19/Pjjj7hx40ayKRK0ZWtriwsXLmDlypVwcnLCgwcPsGvXLlVN28CBA3HkyBGNaSA06dGjB/z8/NC0aVM8e/YM+/fvx+fPn/Hnn3/ip59+AqC5U31Gl0MXtH3+GjZsiIsXL6Jjx474+PEj9u7di5cvX2L69OnYvn17suczNTXF0aNHsXXrVri7u+PFixfYu3cv/Pz8EBUVhe7du2Pv3r2qDvf58+fHypUr4e3tjejoaBw7dgz79u3D27dv0bFjR5w4cQK//PJLpl2ftKhevTpu3bqFSZMmoVixYvD398fff/+N4OBgtGvXDhMmTEjTcfT19XHs2DEMHTpUdZ1u3rwJDw8PXLt2TdVHLDGpVIo9e/Zg4cKFKF26NPz9/XHs2DFUqVIFFy5cUI2o1aRTp064c+cORowYgQIFCuDs2bPYvXs37t69i9KlS2Pu3LlJJuG2trbGxYsX8eOPP8LExAT//PMPLl++jC5duuDChQsoWLBg2i8eyzEkRFyXyBhL3caNG+Hj44O2bdtq7AfEGGN5Adc4McZUXrx4geDg4CTLz549qxox5+vrm9XFYoyxbIPTETDGVPz8/PDDDz+gatWqsLe3h0wmw5MnT3Djxg0AImjy8PDQcSkZY0x3uKmOMaZy//59LFiwAKdPn0ZISAgiIyNRoEABVKtWDX369EHXrl11XUTGGNMpDpwYY4wxxtKI+zgxxhhjjKURB06MMcYYY2nEgRNjjDHGWBpx4MQYY4wxlkYcODHGGGOMpREHTowxxhhjacSBE2OMMcZYGnHgxBhjjDGWRhw4McYYY4yl0f8BJB00mDQdvooAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# feed our model, assembled data dict, and truncation threshold\n",
    "analysis = ModesSelectionPAD21(model, validate_data_traj, truncation_threshold=1e-3, plot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conclusion: 1) if I start to sparsify the modes after number 6, it will not improve the performance (of reconstruction) 2) I observed that $\\lambda=0.7$ is contained in the first because it has the lowest linear evolving error 3) And $\\lambda=0.8$ is included at number 6! this is why the reconstruction error drops quickly after 6. 4) almost every eigenvalue here is excellent. simply because the linear evolving error is around machine precision"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Therefore, I am going to set $L=6$, and perform a sweeping of $\\alpha$ to have a family of sparse selected solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-------+------------------------+------------+------------------------+\n",
      "| Index |         Alpha          | # Non-zero |  Reconstruction Error  |\n",
      "+-------+------------------------+------------+------------------------+\n",
      "|   0   |         1e-07          |     0      |          1.0           |\n",
      "|   1   | 7.742636826811278e-07  |     1      |  0.49422523882244396   |\n",
      "|   2   | 5.994842503189409e-06  |     3      |  0.10116573729866045   |\n",
      "|   3   | 4.641588833612772e-05  |     3      |  0.10116573729866045   |\n",
      "|   4   | 0.00035938136638046257 |     5      | 1.4444276728552715e-15 |\n",
      "|   5   | 0.0027825594022071257  |     4      | 1.0362612697620602e-15 |\n",
      "|   6   |  0.021544346900318822  |     2      | 5.628673469786712e-15  |\n",
      "|   7   |  0.16681005372000557   |     2      | 5.628673469786712e-15  |\n",
      "|   8   |   1.2915496650148828   |     2      | 5.628673469786712e-15  |\n",
      "|   9   |          10.0          |     2      | 5.628673469786712e-15  |\n",
      "+-------+------------------------+------------+------------------------+\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 600x600 with 1 Axes>",
      "image/png": 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kREqbYuqIKWNvbw8HB4cqr6MzAumNUqkUAAhKpdLQoRAR1bvCwkIhKSlJKCws1E2Dv7wtCPPtBOHXd3TTnkg5OTmCjY2NsHDhwnq97qMCAgKEGTNmaD6rVCrB3d1diIyMFFV/9uzZQtu2bQW1Wl2nNoOCgoRNmzbpNE4xdcSUCQ0NFYYPH17ldar791ib72uOOBERUf0RBKA4X/zr3kXgZgyQEgMkfl/WxrldZZ9vxpSdF9OOIEgO+f3330deXh4SExMlt7F48WLY2NhU+0pJSam0bnFxMeLi4hAcHKw5ZmJiguDgYMTExNR47eLiYmzduhWTJ0+GTCbTSZu6ilNMHX3EWhem9X5FIiJqukoKgMXudWujIBPYOLh2dd67A5hb1/pScXFxWLduHYYNG1YhcfLy8oKdnR1MTEzg6OiIQ4cOVdnO9OnT8cILL1R7LXf3yn8vmZmZUKlUcHV11Tru6uqK5OTkGvuwZ88eZGdnY9KkSTprU1dxiqmjj1jrgokTERFRJdRqNaZNm4aZM2ciMDAQEyZMQElJCczMzDRljh07BhsbmxrbcnJygpOTkz7DrdKGDRswZMiQKhOz6ixevBiLFy/WfC4sLMTx48cxc+ZMzbGkpCR4enrqJNaGgIkTERHVHzOrstGf2kg7W/kI0+QowK2r+OvW0qpVq5CZmYmFCxciJSUFJSUlSE5Ohq+vb63bejwBqUxVCYizszPkcjnS09O1jqenp8PNza3aNm/evInff/8dP/zwg6Q2Hx8pGz9+PEaNGoWRI0dqjpUnZFLiFFOnLv3XB65xIiKi+iOTlU2Z1eZlavl3ZRPtn6aW4tv4e22PWKmpqZg7dy7WrFkDa2tr+Pj4QKFQaE3XyWQyBAUFoVevXvjmm2+qbW/69OlISEio9lXViJC5uTn8/f0RHR2tOaZWqxEdHY3evXtXe91NmzbBxcUFw4YNk9Smk5MT2rVrp3lZWlrCxcVF65ipqankOMXUqUv/9YEjTkREZNysmwM2LoCdB9BjIhD/FZCTWnZcT2bNmoUhQ4ZoEg5TU1N06tRJK3E6evQoPDw8cPfuXQQHB8PX1xddu1Y+AlbXqbrw8HCEhoaiZ8+eCAgIwIoVK5Cfn4+wsDBNmdWrV2P37t2aBEOtVmPTpk0IDQ3VJDe1bbM+4hRTRx+xSsXEiYiIjJu9B/B6IiA3Lxs58g8DVMWAqUIvl9u7dy8OHjyICxcuaB339fXVSpw8PDwAAC1atMDQoUMRHx9fZeJUV2PGjMG9e/cwb948pKWlwc/PD1FRUVoLpjMzM3H16lXN599//x0pKSmYPHmy5DbrI04xdfQRq1QyQajDPZpGZM2aNfjkk0+QlpaGbt26YdWqVQgICKi07Pr16/HVV19p/g/g7++PxYsXa5WfNGkStmzZolUvJCQEUVFRomPKycmBvb09lEol7OzsJPSKiKjhevjwIa5fvw5vb29YWFgYOhydys/Ph1qthq2tLfLy8hAUFIR169ahV69ehg6tyRo3bhzkcjm2bt1a6fnq/j3W5vu6Uaxxqu1OpYcPH8a4ceNw6NAhxMTEoFWrVnjmmWeQmpqqVW7w4MFaO69u27atPrpDRERGLj09Hf369UO3bt3w5JNPYuLEiUyaDKS0tBRJSUmIiYlB586d9X69RjHiFBgYiF69emH16tUAyuZ1W7Vqhddeew1z5sypsb5KpYKjoyNWr16NiRMnAigbccrOzsaePXskx8URJyJqyhrziBMZj4SEBPTp0wcDBgzA1q1b4ejoWGk5XY04Nfg1TuU7ikZERGiO1XZH0YKCApSUlFRYuHf48GG4uLjA0dERAwcOxEcffYRmzZpV2U5RURGKioo0n3NycmrZGyIiIqoNPz8/FBQU1Nv1GvxUXXU7iqalpYlq491334W7u7vWdu6DBw/GV199hejoaCxduhR//PEHhgwZApVKVWU7kZGRsLe317xatWolrVNERERklBr8iFNdLVmyBNu3b8fhw4e1hu7Gjh2reV9+i2nbtm1x+PBhDBo0qNK2IiIiEB4ervmck5PD5ImIiKgRafAjTnXZUfTTTz/FkiVLsH///hpvIW3Tpg2cnZ1x5cqVKssoFArY2dlpvYiIiKjxaPCJk9QdRT/++GN8+OGHiIqKQs+ePWu8zu3bt3H//n20aNFCJ3ETERFRw9PgEyegbEfR9evXY8uWLbhw4QJeffVVrR1FJ06cqLV4fOnSpZg7dy42btwILy8vpKWlIS0tDXl5eQCAvLw8vP322zh+/Dhu3LiB6OhoDB8+HO3atUNISIhB+khERESG1yjWONW0o2hKSgpMTP6XI65duxbFxcV4/vnntdqZP38+FixYALlcjrNnz2LLli3Izs6Gu7s7nnnmGXz44YdQKPSzUy0REREZv0axj5Ox4j5ORNSUcR8nMibcOZyIiIionjFxIiIiIhKJiRMRERGRSEyciIiIqjBnzhwoFAq8+OKLhg6FRJg0aRJGjBih12swcSIiIqpCREQEli1bhm3btlW7AXJ9WLNmDby8vGBhYYHAwEDExsbWWGfBggWQyWRar44dO2qVSU1NxYQJE9CsWTNYWlrC19cXp06dqvdYxdSpqczKlSuxefPmOsVeEyZORETUIJzPPI8p+6bgfOb5erumvb09pkyZAhMTE5w7d67ervu4HTt2IDw8HPPnz0d8fDy6deuGkJAQZGRk1Fi3c+fOuHv3ruZ19OhRzbkHDx6gb9++MDMzw2+//YakpCQsW7YMjo6OVbbXv3//apMTKbGKqSOmjL29PRwcHGr8ndQFEyciImoQfrr6E2LTYvHztZ/r9bqlpaWwsrJCYmJivV73UcuXL8fUqVMRFhaGJ554AuvWrYOVlRU2btxYY11TU1O4ublpXs7OzppzS5cuRatWrbBp0yYEBATA29sbzzzzDNq2bVuvsYqpI6YMp+qIiKhREQQBBSUFol9Xs68iLj0O8enx+O36bwCAX6/9ivj0eMSlx+Fq9lVR7dRly8L3338feXl5dUqcFi9eDBsbm2pfKSkpldYtLi5GXFwcgoODNcdMTEwQHByMmJiYGq99+fJluLu7o02bNhg/frzWdX766Sf07NkTo0ePhouLC7p3747169dL7qeUWMXUqevvQJcaxc7hRETUMBSWFiLw28A6tfGg6AFCo0JrVefEiydgZWZV62vFxcVh3bp1GDZsmFbidOvWLbz00kvIyMiAqakp5s6di9GjR1fZzvTp0/HCCy9Uey13d/dKj2dmZkKlUmmehlHO1dUVycnJ1bYZGBiIzZs3o0OHDrh79y4++OADPPXUU0hMTIStrS2uXbuGtWvXIjw8HO+99x5OnjyJWbNmwdzcHKGhtfsdS41VTJ26/A50jYkTERFRJdRqNaZNm4aZM2ciMDAQEyZMQElJCczMzGBqaooVK1bAz88PaWlp8Pf3x9ChQ2FtbV1pW05OTnBycqrnHgBDhgzRvO/atSsCAwPRunVrfPfdd5gyZQrUajV69uyJxYsXAwC6d++OxMRErFu3TpM4LV68WHMeAAoLC3H8+HHMnDlTcywpKQmenp711CvDYuJERET1xtLUEidePFGrOslZyZWOMG0ZvAUdnTpWUqPy69bWqlWrkJmZiYULFyIlJQUlJSVITk6Gr68vWrRogRYtWgCAZt1QVlZWlYnT48lHZapKPpydnSGXy5Genq51PD09HW5ubrXqk4ODA9q3b6+5Q7BFixZ44okntMp06tQJ33//vebz46Nl48ePx6hRozBy5EjNsfLRMimxiqmjy99BXTFxIiKieiOTyWo9ZWZhWvZcMRlkECBoflqYWkiafhMjNTUVc+fOxbZt22BtbQ0fHx8oFAokJibC19dXq2xcXBxUKhVatWpVZXt1maozNzeHv78/oqOjNQuf1Wo1oqOjtUZ9xMjLy8PVq1fx0ksvAQD69u2LixcvapW5dOkSWrdurfn8+GiZpaUlXFxc0K5dO53EKqaOLn8HdcXEiYiIjJqThROaWTSDm7UbRvqMxA+Xf0BafhqcLPQ39TVr1iwMGTIEw4YNA1B2Z1qnTp0qLBDPysrCxIkTa1xQXdepuvDwcISGhqJnz54ICAjAihUrkJ+fj7CwME2Z1atXY/fu3YiOjtYce+utt/Dss8+idevWuHPnDubPnw+5XI5x48YBAN544w306dMHixcvxgsvvIDY2Fh88cUX+OKLL+o1VjF1xJSpD0yciIjIqLlZu2H/8/thZmIGmUyG0e1Ho0RdAnO5uV6ut3fvXhw8eBAXLlzQOu7r66uVOBUVFWHEiBGYM2cO+vTpo5dYyo0ZMwb37t3DvHnzkJaWBj8/P0RFRWktls7MzMTVq1e16t2+fRvjxo3D/fv30bx5c/Tr1w/Hjx9H8+bNAQC9evXC7t27ERERgYULF8Lb2xsrVqzA+PHj6zVWMXXElKkPMqEu92hStXJycmBvbw+lUgk7OztDh0NEVK8ePnyI69evw9vbGxYWFoYOR6cEQcCLL76IDh06YMGCBYYOh/42btw4yOVybN26tcK56v491ub7mvs4ERER1dJff/2FHTt2YM+ePfDz84Ofn59BdxZv6kpLS5GUlISYmBh07txZr9fiVB0REVEt9evXD2q12tBh0N8SExPRp08fDBgwANOnT9frtZg4ERERUYPm5+eHgoKCerkWp+qIiIiIRGLiRERERCQSEyciIiIikXS6xkkQBHz11VdISEhA69atMXXq1Cq3nyciIiJqaCSNOC1btgxOTk44dOiQ1vF//etfmDx5Mj777DO8+eab6Nu3LwoLC3USKBEREZGhSUqcfvvtN8jlcjz99NOaY4cOHcJPP/2E5s2bY/bs2ejatSvOnTuHzZs36ypWIiIiIoOSlDhdunQJnTt3hlwu1xzbtWsXZDIZtm3bhuXLl+PIkSOws7PDN998o7NgiYiIiAxJUuJ0//79Ck9xPnr0KJydnTFgwAAAgK2tLfr27Yvr16/XPUoiIiIiIyApcVKr1Xj48KHmc35+PpKSktC3b1+tco6OjsjKyqpbhERERERGQlLi5OnpidOnT2s+79+/HyqVqkLi9ODBAzg5OdUtQiIiIiIjISlxGjx4MFJSUvDvf/8bP/74IyIiIiCTyTBs2DCtcgkJCfD09NRJoERERPVtzpw5UCgUePHFFw0dCokwadIkjBgxQq/XkJQ4RUREwM3NDevWrcPIkSNx6dIljB8/Hh07dtSUiY+Px507d9CnTx+dBUtERFSfIiIisGzZMmzbtg1XrlwxWBxHjhzBs88+C3d3d8hkMuzZs0d03TVr1sDLywsWFhYIDAxEbGxsrc5LIaVNMXVqKrNy5Uq9380vKXFyc3NDfHw8PvjgA7z66qvYvHkztmzZolXm/PnzGD58OEaOHKmTQImIqGkrPJeIm6GTUHgusd6uaW9vjylTpsDExATnzp2rt+s+Lj8/H926dcOaNWtqVW/Hjh0IDw/H/PnzER8fj27duiEkJAQZGRmizlemf//+1SYnUtoUU0dMGXt7ezg4OIj/BUkhkN4olUoBgKBUKg0dChFRvSssLBSSkpKEwsJCnbR398OPhKQOHYW7Hy3SSXti5eTkCDY2NsLChQvr9bpVASDs3r1bVNmAgABhxowZms8qlUpwd3cXIiMjRZ2vTFBQkLBp0ybJ15RaR0yZ0NBQYfjw4ZVeo7p/j7X5vpY04jR58mRs3LixxnKbN2/G5MmTpVyCiIgaIUEQoC4oEP0qunIVBafiUBAXh5xffgEA5PyyFwVxcSg4FYeiK1dFtSMIguSY33//feTl5SExUfpI1+LFi2FjY1PtKyUlRXL7lSkuLkZcXByCg4M1x0xMTBAcHIyYmJgaz+vjmlLr6CNWqSQ9q658iK6mpOivv/7Cli1bRCVZRETU+AmFhbjYw79ObaiyHuDm+Am1qtMhPg4yK6taXysuLg7r1q3DsGHDKiROe/fuxZtvvgm1Wo13330XL7/8cpXtTJ8+HS+88EK113p8f8S6yszMhEqlgqurq9ZxV1dXJCcn13heH9eUWkcfsUql04f8Pk6lUsHERNKgFhERkUGp1WpMmzYNM2fORGBgICZMmICSkhKYmZmhtLQU4eHhOHToEOzt7eHv749//etfaNasWaVtOTk5NdjteRYvXozFixdrPhcWFuL48eOYOXOm5lhSUlKTuYter4nT5cuXYW9vr89LEBFRAyKztESH+Lha1Xl44UKlI0ytv9kKi06dRF+3tlatWoXMzEwsXLgQKSkpKCkpQXJyMnx9fREbG4vOnTvDw8MDADBkyBDs378f48aNq7Stx5OPyug6+XB2doZcLkd6errW8fT0dLi5udV4vtzjo2Xjx4/HqFGjtG7+Kh8tE9tmbeKU2q6+iE6cFi5cqPU5ISGhwrFypaWlOH/+PI4dO6Y1H0lERE2bTCar9ZSZzMKivDIgCJqfMgsLmEiYfhMjNTUVc+fOxbZt22BtbQ0fHx8oFAokJibC19cXd+7c0SRNAODh4YHU1NQq2zPEVJ25uTn8/f0RHR2t2dtIrVYjOjoaM2fOrPF8ucdHyywtLeHi4oJ27drV+ppS4pTarr6ITpwWLFgAmUymWWCXkJCAhISEautYW1tj3rx5dQqQiIiaNtNmzSB3doaZmxscnn8e2bt2oSQtDaZVTIvpwqxZszBkyBDNxs6mpqbo1KmT5AXidZ2qy8vL09pH6vr160hISICTk5NmlGr16tXYvXs3oqOjNeXCw8MRGhqKnj17IiAgACtWrEB+fj7CwsJEnZdCTJuPxyqmjj5ilUJ04jRv3jxN4rRw4UL4+flh+PDhlZY1NzdHy5YtERISAhcXF50FS0RETY+ZmxvaHYyGzMwMMpkMDmNegFBSAhNzc71cb+/evTh48CAuXLigddzX11eTOLm7u2uNMKWmpiIgIEAv8QDAqVOnMGDAAM3n8PBwAEBoaKjmhq3MzExcvXpVq96YMWNw7949zJs3D2lpafDz80NUVJRmkXVN56UQ0+bjsYqpo49YpZAJEu7RNDExwaRJk3i3XA1ycnJgb28PpVIJOzs7Q4dDRFSvHj58iOvXr8Pb2xsW5dNtjURpaSk6deqEw4cPaxaHHzt2rMrF4VQ/xo0bB7lcjq1bt1Y4V92/x9p8X0taHK5Wq6VUIyIiahRMTU2xbNkyDBgwAGq1Gu+88w6TJgMqLS3FpUuXEBMTg2nTpun1Wnq9q46IiKixeu655/Dcc88ZOgwCkJiYiD59+mDAgAGYPn26Xq9Vp8Tpzp07OHToEFJTU/Hw4cNKy8hkMsydO7culyEiIiKqkp+fHwoKCurlWpITp/DwcKxevRoqlQoAKmxnX76QnIkTERERNRaSEqfly5djxYoVkMlkCAkJQadOnQy++HnNmjX45JNPkJaWhm7dumHVqlVV3uGwfv16fPXVV5q7I/z9/bF48WKt8oIgYP78+Vi/fj2ys7PRt29frF27Fj4+PvXSHyIiIjI+khKnDRs2wNTUFPv370f//v11HFLt7dixA+Hh4Vi3bh0CAwOxYsUKhISE4OLFi5Vuh3D48GGMGzcOffr0gYWFBZYuXYpnnnkG58+f12xo9vHHH+Ozzz7Dli1b4O3tjblz5yIkJARJSUmN7u4QIiIiEkfSdgQWFhbo06cPDh48qI+Yai0wMBC9evXC6tWrAZTd9deqVSu89tprmDNnTo31VSoVHB0dsXr1akycOBGCIMDd3R1vvvkm3nrrLQCAUqmEq6srNm/ejLFjx4qKi9sREFFT1pi3I6CGR1fbEUh6Aq+trS1atGghparOFRcXIy4uTuvRLiYmJggODkZMTIyoNgoKClBSUqLZ1fX69etIS0vTatPe3h6BgYHVtllUVIScnBytFxERETUekhKnp556CmfOnNF1LJJkZmZCpVJV2DnU1dUVaWlpotp499134e7urkmUyuvVts3IyEjY29trXq1atapNV4iIiMjISUqc5s2bhytXruDLL7/UdTz1bsmSJdi+fTt2795d56HkiIgIKJVKzevWrVs6ipKIiIiMgaTF4Tk5OQgPD8e0adOwf/9+/POf/4SnpydMTCrPw55++uk6BVkdZ2dnyOVypKenax1PT0+Hm5tbtXU//fRTLFmyBL///ju6du2qOV5eLz09XWtKMj09HX5+flW2p1AooFAoJPSCiIiIGgJJiVP//v01+zR9//33+P7776ssK5PJUFpaKjnAmpibm8Pf3x/R0dEYMWIEgLLF4dHR0Zg5c2aV9T7++GMsWrQI+/btQ8+ePbXOeXt7w83NDdHR0ZpEKScnBydOnMCrr76qr64QERGRkZOUOD399NOQyWS6jkWy8PBwhIaGomfPnggICMCKFSuQn5+PsLAwAMDEiRPh4eGByMhIAMDSpUsxb948fPvtt/Dy8tKsW7KxsYGNjQ1kMhlef/11fPTRR/Dx8dFsR+Du7q5JzoiIiKjpkZQ4HT58WMdh1M2YMWNw7949zJs3D2lpafDz80NUVJRmcXdKSorWNOLatWtRXFyM559/Xqud+fPnY8GCBQCAd955B/n5+XjllVeQnZ2Nfv36ISoqirfUEhE1IXPmzMF///tfjBo1Ct9++62hw6EaTJo0CdnZ2dizZ4/+LiKQ3iiVSgGAoFQqDR0KEVG9KywsFJKSkoTCwkJDhyJZdna2sGrVKgGAcPnyZYPGsnr1aqF169aCQqEQAgIChBMnTtSqfmRkpABAmD17tuZYTk6OMHv2bMHT01OwsLAQevfuLcTGxhokVjF1aiqTnZ0tPHjwoNL2q/v3WJvva0l31T2uuLgYd+/eRVZWli6aIyIiqiDjZg72LI9Hxs362yPP3t4eU6ZMgYmJCc6dO1dv131c+RMy5s+fj/j4eHTr1g0hISHIyMgQVf/kyZP4/PPPtW6EAoCXX34ZBw4cwNdff41z587hmWeeQXBwMFJTU6tsq3///ti8ebNOYxVTR0wZe3t7ODg41PwLqYsaU6tqfP3110KvXr0EU1NTwcTERAgLC9Oc++GHH4Rx48YJ165dq8slGjSOOBFRU6brEac/tl8UVk+LFo5sv6iT9sTKyckRbGxshIULF9brdR8VEBAgzJgxQ/NZpVIJ7u7uQmRkZI11c3NzBR8fH+HAgQNCUFCQZsSpoKBAkMvlwt69e7XK9+jRQ/jPf/5TZXtBQUHCpk2bdBqrmDpiyoSGhgrDhw+v9BoGH3F6+eWXERoailOnTsHS0hLCY09uad++PbZv317tHXdERNS0CIKAkiKV6FfW3XzcuZKNu1eycflk2bYzl06m4+6VbNy5ko2su/mi2nn8O6o23n//feTl5WkeDC/F4sWLNTcgVfVKSUmptG5dn5AxY8YMDBs2TKs+AJSWlkKlUlVYu2tpaYmjR49K6KW0WMXU0cVTQnRF0uLwb775Bhs3boSvry82btyIHj16QC6Xa5Xp3LkzWrZsid9++03zvDciImraSovV+GL2H3Vq42FeCX74NL5WdV5ZGQQzhbzmgo+Ji4vDunXrMGzYMK3EKTs7G8HBwSgtLUVpaSlmz56NqVOnVtnO9OnT8cILL1R7LXd390qPV/eEjOTk5Grb3L59O+Lj43Hy5MkK52xtbdG7d298+OGH6NSpE1xdXbFt2zbExMSgXbt21bZbFSmxiqlTl9+BrklKnL744gvY2Nhg79691T5WxNfXFxcuXJAcHBERkaGo1WpMmzYNM2fORGBgICZMmICSkhKYmZnB1tYWR44cgZWVFfLz89GlSxeMHDkSzZo1q7QtJycnzfNQ68utW7cwe/ZsHDhwoMo7wr/++mtMnjwZHh4ekMvl6NGjB8aNG4e4uDhNmcWLF2Px4sWaz4WFhTh+/LjWXolJSUnw9PTUX2eMiKTE6cyZMwgMDKzxWWxOTk4VdvQmIqKmy9TcBK+sDKpVncxbuZWOMI18qwecW9mKvm5trVq1CpmZmVi4cCFSUlJQUlKC5ORk+Pr6Qi6Xw8rKCkDZA94FQah2OvDx5KMyVSUfUp+QERcXh4yMDPTo0UNzTKVS4ciRI1i9ejWKiorQtm1b/PHHH8jPz0dOTg5atGiBMWPGoE2bNpo6j4+WjR8/HqNGjcLIkSM1x8pHy6TEKqZOXZ4SomuSEqeioiLY29vXWO7evXsVpvCIiKjpkslktZ4yMzX/u7wMgPC/n6bmcknTb2KkpqZi7ty52LZtG6ytreHj4wOFQoHExET4+voCKJuuCwoKwuXLl/HJJ5/A2dm5yvbqMlUn9QkZgwYNqnAnYFhYGDp27Ih3331X6/vZ2toa1tbWePDgAfbt24ePP/5Yc+7x0TJLS0u4uLhUOp0nJVYxdaT+DvRBUuLk4eFR4xScIAhISkqCt7e3pMCIiIgAwNLWDFZ25rBxVKBTX3dc+OsO8h4UwdLWTG/XnDVrFoYMGYJhw4YBAExNTdGpUyetdU4ODg44c+YM0tPTMXLkSDz//PMV1uCUq+tUXU1PyACA1atXY/fu3YiOjgZQtoapS5cuWu1YW1ujWbNmmuP79u2DIAjo0KEDrly5grfffhsdO3bUarc+YhVTR0yZ+iApcRo0aBC+/PJL/Pjjjxg+fHilZb7++mvcvn27xgybiIioOjaOFpi4qA9MTGWQyWTo/JQ71KUC5GY62Yqwgr179+LgwYMVBgh8fX0rvbPO1dUV3bp1w59//lnhiRS6UtMTMoCyBdRXr16tVbtKpRIRERG4ffs2nJycMGrUKCxatAhmZtKTUimxiqkjpkx9kAkS7tG8fPkyunXrBplMhkWLFuGFF15Ay5YtMWnSJHz66af47rvv8NZbb0Emk+H8+fNNZsHY43JycmBvbw+lUgk7OztDh0NEVK8ePnyI69evw9vbu9E9rio9PR1WVlawtbWFUqlE3759sW3bNs00HhnGuHHjIJfLsXXr1grnqvv3WJvva0npuo+PD7Zs2QK1Wo0333wTrVq1gkwmw5YtW9C8eXPMmDEDpaWl2Lx5c5NNmoiIqPG6efMmnnrqKXTr1g1PPfUUXnvtNSZNBlRaWoqkpCTExMSgc+fOer2WpKk6ABg9ejQ6deqEjz76CFFRUcjJKdsC39LSEv/4xz8wf/58dO/eXWeBEhERGYuAgAAkJCQYOgz6W2JiIvr06YMBAwZg+vTper2W5MQJALp06YLt27dDEATcv38farUazs7OMDHRz7wzERER0eP8/PxQUFBQL9eqU+JUTiaTVXsbJhEREVFjwKEhIiIiIpFEjTgtXLgQADBz5kw4OTlpPoshk8kwd+5cadERERERGRFR2xGYmJhAJpPhwoULaN++veZzdVXLz8tkMqhUKp0G3VBwOwIiasoa83YE1PDoajsCUSNO8+bN01rHVP6ZiIiIqCkRlTgtWLCg2s9ERERETQEXhxMRERGJxMSJiIiISCRJidPq1ashl8vx888/V1nm559/hlwux+effy45OCIiIiJjIilx+vHHH9G8eXMMGzasyjJDhw6Fs7Mzdu/eLTk4IiIiImMiKXFKTk5Gly5dqn20ilwuh6+vLy5cuCA5OCIiIkOaM2cOFAoFXnzxRUOHQjWYNGkSRowYoffrSEqc7t27Bzc3txrLubm5ISMjQ8oliIiIDC4iIgLLli3Dtm3bcOXKFYPGsmbNGnh5ecHCwgKBgYGIjY2ttrxKpcLcuXPh7e0NS0tLtG3bFh9++GGFPRhr266u46xNverKrFy5Eps3b65T7KIIEjg7OwsDBgyosdyAAQMEJycnKZdoFJRKpQBAUCqVhg6FiKjeFRYWCklJSUJhYaFO2rt75ZKw44MI4e6VSzppT6yCggLBxMRE+OGHH+r1uo/avn27YG5uLmzcuFE4f/68MHXqVMHBwUFIT0+vss6iRYuEZs2aCXv37hWuX78u7Ny5U7CxsRFWrlxZp3aDgoKETZs26SxOsfWktl2uun+Ptfm+lpQ4DRo0SFAoFEJKSkqVZVJSUgSFQiEEBQVJuUSjwMSJiJoyXSdO0RvXCZ++MEyI3rROJ+2JlZOTI9jY2AgLFy6s1+s+KiAgQJgxY4bms0qlEtzd3YXIyMgq6wwbNkyYPHmy1rGRI0cK48ePr1O71SVOUtoTW6+mMqGhocLw4cOrvIauEidJU3UvvvgiiouLMXLkSKSlpVU4n5aWhlGjRqGkpITzwkREpCEIAkoePhT9un/7FlIvnEdqchKS/zoCAEj+6whSk5OQeuE87t++Jaodoeani1Xp/fffR15eHhITEyW3sXjxYtjY2FT7SklJqbRucXEx4uLiEBwcrDlmYmKC4OBgxMTEVHnNPn36IDo6GpcuXQIAnDlzBkePHsWQIUPq1G5VpLYnpp6uY60LUTuHPy40NBSbNm3CX3/9hbZt22LYsGHo2LEjgLKF47/++isKCgrQu3dvTJ48WacBExFRw1VaVITPQp+vUxuFOUpsn/9OrerM2rILZhKelxcXF4d169Zh2LBhlSZOBQUF6NSpE0aPHo1PP/20ynamT5+OF154odprubu7V3o8MzMTKpUKrq6uWsddXV2RnJxcZXtz5sxBTk4OOnbsCLlcDpVKhUWLFmH8+PF1arcqUtsTU0/XsdaFpMRJLpfjl19+QVhYGHbv3o1du3Zpnl1XntUPHz4cmzZtgqmppEsQEREZlFqtxrRp0zBz5kwEBgZiwoQJKCkpgZmZmabMokWL8OSTT9bYlpOTE5ycnPQZbgXfffcdvvnmG3z77bfo3LkzEhIS8Prrr8Pd3R2hoaGi21m8eDEWL16s+VxYWIjjx49j5syZmmNJSUlN5vteci/t7Ozw/fff4+zZs4iKisLNmzcBAJ6enhg8eDC6deumsyCJiKhxMFUoMGvLrlrVybhxrdIRprEffAwXrzair1tbq1atQmZmJhYuXIiUlBSUlJQgOTkZvr6+AIDLly8jOTkZzz77bI3TeI8nH5VJSkqCp6dnhePOzs6Qy+VIT0/XOp6enl7tHe5vv/025syZg7FjxwIAfH19cfPmTURGRiI0NFR0u4+Plo0fPx6jRo3CyJEjNcfc3d2hVqslxSkmDqm/A32oc3rYtWtXdO3aVRexEBFRIyeTyWo9ZWZqbl5eGRAEzU9Tc3NJ029ipKamYu7cudi2bRusra3h4+MDhUKBxMRETeL01ltv4ZNPPsGxY8dqbK8uU3Xm5ubw9/dHdHS0Zp8itVqN6OhorVGfxxUUFFTYb1Eul0OtVteq3cdHyywtLeHi4oJ27dpVuKaUOMXEIfV3oA9NY1yNiIgaLCt7B1jZO8LW2Rm+A57BuUP7kZuZCSt7B71dc9asWRgyZIjmCRmmpqbo1KmTZmTpxx9/RPv27dG+fXtRiVNdp+rCw8MRGhqKnj17IiAgACtWrEB+fj7CwsI0ZVavXo3du3cjOjoaAPDss89i0aJF8PT0ROfOnXH69GksX75ca+2xmHb1HafYerqOVSomTkREZNRsmzlj6pqNkJuaQiaToWvwYKhKS2H6yFojXdq7dy8OHjxY4ckXvr6+msTp+PHj2L59O3bu3Im8vDyUlJTAzs4O8+bN00tMY8aMwb179zBv3jykpaXBz88PUVFRWoulMzMzcfXqVc3nVatWYe7cufj3v/+NjIwMuLu7Y9q0aVoximlX33GKrafrWKWSCSLu0ZTL5ZDJZEhKSkL79u0hl8vFX0AmQ2lpaZ2CbKhycnJgb28PpVIJOzs7Q4dDRFSvHj58iOvXr8Pb2xsWeppSMwabN29GYmJitXfVkf6NGzcOcrkcW7durfR8df8ea/N9LWofJ0EQNHOi5Z/Fvh6tR0RERKRLpaWlSEpKQkxMDDp37qz364maqns8+WEyREREVGbSpEmGDqFJS0xMRJ8+fTBgwABMnz5d79cTlTgdOXIEbm5uaN++vb7jISIiIhLNz88PBQUF9XY9UVN1/fv3x5IlSzSfBw4ciI8//lhvQREREREZI9F31T26hvzw4cPw8vLSRzxERERERkvUiJOtrS3u3r2r71iIiIiIjJqoEaeuXbvi4MGDmDdvnman0CtXruCrr74SdZGJEydKj5CIiBo0EbveEOmdrv4ditrH6eeff8bzzz+v2Y9JEATNQ33FUKlU0iNswLiPExE1ZSqVCpcuXYKLiwuaNWtm6HCoibt//z4yMjIq3Y+yNt/Xokacnn32WcTGxmLPnj24efMmNm/ejLZt26Jv377Se0BERI2aXC6Hg4MDMjIyAABWVla1+qObSBcEQUBBQQEyMjLg4OBQq028KyNqxOlxJiYmmDRpEjZu3Fini+vSmjVr8MknnyAtLQ3dunXDqlWrEBAQUGnZ8+fPY968eYiLi8PNmzfx3//+F6+//rpWmQULFuCDDz7QOtahQwckJyeLjokjTkT1K+34zziy5XM8HToNbk8+a+hwJGsM/Sjvw1Oh04DWPZGdnW3okCRRFRXgYV4eLGxsIFdYGTocydgPwMHBAW5ubpUm7zofcfrqq6/Qrl079OnTBwAwf/58dO/evVYB69OOHTsQHh6OdevWITAwECtWrEBISAguXrwIFxeXCuULCgrQpk0bjB49Gm+88UaV7Xbu3Bm///675rOpKR/tR2TMkn7biVtZQFLUzgabcACNox/lfbgQtRMDFzwLFxcXlJSUGDqsWju+6l1cuKZEp7b2eHLmUkOHI1lT74eZmVmdR5rKicoEJk2ahEmTJmkSp82bNyM/Px/PPfecToKoq+XLl2Pq1KmaJySvW7cOv/zyCzZu3Ig5c+ZUKN+rVy/06tULACo9X87U1BRubm76CZqIdCLn6mkUZqYCMEHylQwAprh4OQOdT/wKQA1LZw/YtTWeP/Sq0hj60Rj6AGj3IynhIgpLTXEhJw2dzhwE+1H/jK0fohInmUym9ZiVmzdvIjMzU29B1UZxcTHi4uIQERGhOWZiYoLg4GDExMTUqe3Lly/D3d0dFhYW6N27NyIjI+Hp6Vll+aKiIhQVFWk+5+Tk1On6RFSz9e/NfeRT2V+UBaVybF3+f5qjfh0c6jcoCRIuZj/yqWH2ozH0AWA/jI2Yfry5Y2+9xSMqcXJwcMCNGzf0HIo0mZmZUKlUcHV11Tru6upaq/VIjwsMDMTmzZvRoUMH3L17Fx988AGeeuopJCYmwtbWttI6kZGRFdZFEZF+CIKA9GtX0ManJa5dvgVA9vcLj/wso/0f3oagMfSjMfQBYD+MjXY/TKDG4OFP12sEohInf39/HDx4EBMnTtTs45SQkICFCxfWWFcmk2Hu3Lk1ljM2Q4YM0bzv2rUrAgMD0bp1a3z33XeYMmVKpXUiIiIQHh6u+ZyTk4NWrVrpPVaipkKtVuFO8gVcjj2Gy7ExyL1/7+8zld+p5dvOBtb2DvUWX13lK7Nx7kpeheMNqR+NoQ8A+2FsqurHi+Ez4Ro4tF5jEZU4LViwACdPnsTWrVs1xxISEpCQkFBlHZlMptnvSZ+Jk7OzM+RyOdLT07WOp6en63R9koODA9q3b48rV65UWUahUEChUOjsmkQEqEpLkJJ4Fpdjj+HKyeMozFFqzpkpLODdvSdcnCxx9NcDAASUJVFlP7s9N7He/6NaF+knfsW55f+HhtyPxtAHgP0wNlX1wxBEJU59+vRBUlIS9u/fj5s3b2LBggXw8/PD8OHD9R1fjczNzeHv74/o6GiMGDECAKBWqxEdHY2ZM2fq7Dp5eXm4evUqXnrpJZ21SUSVK3n4EDfOxONy7DFciz+JooJ8zTkLaxu07RmIdgF90LqrH8zMFchNjkH8vl9ga1YE38AeOBefjNyHAqxcq16TaIysXD1hZVYKWwsZfJ/0x7njcQ2uH42hDwD7YWyMqR+NYh+nHTt2IDQ0FJ9//jkCAgKwYsUKfPfdd0hOToarqysmTpwIDw8PREZGAihbUJ6UlAQAGDp0KMaPH4/x48fDxsZGMxX51ltv4dlnn0Xr1q1x584dzJ8/HwkJCUhKSkLz5s1FxcV9nIjEe5ifh2vxJ3H5xDHcOBOP0uL/3Whh7eCIdr16wyegD1o+0QXyx7cGObcLpTtfhrx5e8hei4WgVkNVVABTS5t67kXdlRbmQa6wgszEpMH2ozH0AWA/jI0++6HzfZwet2nTJk2CYQzGjBmDe/fuYd68eUhLS4Ofnx+ioqI0C8ZTUlJgYvK/5xnfuXNHax+qTz/9FJ9++imCgoJw+PBhAMDt27cxbtw43L9/H82bN0e/fv1w/Phx0UkTEdUsP/sBrp46gcuxx5CSeAbqRx7PZNfcFT6BfeAT0AfuPh0gM6nmmeSXomBqIgAdy9YmykxMGuQXAwCtuBtqPxpDHwD2w9gYSz8kjTiROBxxIqoo514GLsfG4HLsMaReTAIe+U9Qs5aemmSpeWtvcY/nUJUAn7QFHiqByfsAzyf1GD0RNUZ6H3Eq9+eff2LVqlU4duwY7t27hwkTJmDDhg0AgAMHDuDQoUOYNWsWN5EkauLup97Clb+TpfRr2jdYuLX1QbuAPvAJ6A0n95a1bzzleFnSZNUMaNlLRxETEVVOcuL04YcfYsGCBXh0wOrR9/b29li6dClatmyJf//733WLkogaFEEQkHH9qmZkKSv1luacTGYCj05PwCegD9r1ehJ2zhUfi1Qrl6LKfvo8A5jo5pEKRERVkZQ4/fbbb5g/fz5atmyJ5cuXIygoqMIGlAEBAWjevDn27t3LxImoCRDUaty5lKzZYynn3v+2CDGRm6K1bze0C+iDdj0DYaXL/WMu/lb2s8OQ6ssREemApMRp5cqVUCgU+O2339C5c+cqy3Xr1g2XL1+WHBwRGTdVaSluJZ3Dlb/3WMrPfqA5Z2qugLefP3wCeqONfwAUVta6DyDzMpB1FZCbA20H6r59IqLHSEqcTp48iYCAgGqTJgBo3rw5jh07JikwIjJOJcVFuHnmNC7HHsPVuBMoyv/fHksKK2u08Q+AT0BveHXrATOFhX6DKR9t8uoHKCp/FBIRkS5JSpzy8/NFLfhWKpVaDwcmamzSrl7GkW824enxYXBr62PocCSrqR9FBQW4dvokrpw4hmsJp1D6yMOsrewd0K7nk/AJ6I1WXbpCbmpWf4GXr29qz2k6IqofkhInV1fXah89Uu7ixYt8Vhs1aklHDuLW+bNI+vNgg06cKutHQY7yf3ssnUuAqrRUU97WuTl8/r4Tzr1DJ5gYYlF2QVbZHXUA0GFw/V+fiJokSYlTv379sH37dvz111/o27dvpWX27t2LK1euYNq0aXUKkMjY5NzLQGFuDgAg+dgRAMDFv46g89ODAACWtnawa17HO8XqQWX9uHD0MOSmZriVeBbp16+i7HlQZRzdW6L933ssuXi3FbfHkj5d+R0QVIBLZ8ChYT0+gogaLkmJ05tvvokdO3Zg5MiR+Pzzz/HPf/5T63xUVBRefvllmJmZ4bXXXtNJoETGYv3MyRWOFeQosTXidc3njn2D6jEiaZL/+qPCsYe5uTj18w+azy7ebf8eWeqDZi2NbPRYczcdR5uIqP5I3jl85cqVCA8PBwBYWlqisLAQNjY2kMlkyM3NhSAI+Oyzz3T6oN2GhjuHN04X/jyEqLUrtB4P0tjIZDIEvfQy/IcZ/kHelSotLtstvCgHmPI70IobXxKRdPWyc/js2bPRsWNHzJ8/HydPnoQgCMjNzQUAdO3aFR999FGFkSiixqDTUwPg5NFKa4SpnP+wEbBt5lz/QUmUez8Tcb/sqXB8/OL/wrWN8TyPsoKUY2VJk3VzwMPf0NEQURNSp0euhISEICQkBPfv38f169ehVqvRqlUrtGjRQlfxETUMMhkgCOjUr79xJxyPSb92pSxx+jt+zU9jd7F8t/AQoLqH/xIR6VidEqdyzZo1Q7NmzXTRFFGDYGXvALmZGVQlJWjVpRuKCwuQm5mp2x2x64GVvQOs7B1h6+wM3wHP4Nyh/cbfD0EALnF9ExEZhk4Sp7S0NNy+fRsA4OHhwREnavQsbe1gIpdDVVKCvi9MgHv7jlCVlsLUrB73MNIB22bOmLpmI+SmppDJZOgaPNj4+3HvIvDgBiBXAG0GGDoaImpi6jTGvWHDBnTs2BEeHh4IDAxEYGAgWrZsiU6dOmHjxo26ipHI6Nw4exolDx/CxqkZ3H06QCaTGXeyUQ1TMzPN1gINoh/lo03eTwMKG8PGQkRNjuTEaerUqXjllVdw6dIlCIIAR0dHODo6QhAEXLx4EVOnTsXUqVN1GSuR0bgU8ycAoP2T/SDjGpv6Vb6+idN0RGQAkv6Lv3PnTmzYsAEODg749NNP8eDBA2RmZiIzMxPZ2dlYtmwZHB0dsXHjRuzatUvXMRMZVGlxMa7GnQBQljhRPcq/D9yOLXvfnokTEdU/SYnT559/DlNTUxw4cADh4eGwt7fXnLOzs8Mbb7yBAwcOQC6X4/PPP9dZsETG4MbZ0yguLNRM01E9urwfENSAmy9g39LQ0RBREyQpcTp9+jSCgoLQo0ePKst0794dQUFBiI+PlxwckTHiNJ0Bla9v4kN9ichAJP1XPz8/Hy4uNT+Ly8XFBfn5+VIuQWSUOE1nQKVFwJXosvdc30REBiIpcXJzc8Pp06drLHf69Gm4urpKuQSRUeI0nQHdOAoU5wE2rkCL7oaOhoiaKEmJ04ABA3Dx4kUsWbKkyjKRkZG4ePEiBg0aJDk4ImPDaToDuvT33XTtuVs4ERmOpA0w58yZgx07duA///kPdu/ejYkTJ8Lb2xsAcO3aNWzZsgXx8fGwsLDAu+++q9OAiQyF03QGJAj/24aA65uIyIAkJU4dOnTAzp07MX78eJw8eRKnTp3SOi8IAuzs7PDNN9+gQwdOZ1DjwGk6A8pIApQpgKkF0Ka/oaMhoiZM8iNXhg0bhkuXLuGLL77AH3/8gdTUVABlj1zp378/pk6dKmoBOVFDwWk6A7r49910bfoD5lYGDYWImrY6PavOxcUF77//Pt5//31dxUNklDhNZ2Ca9U28m46IDIt/NhOJwGk6A8q7B9z+ezkAEyciMjDRidOcOXMwcuRI/PXXXzWW/euvvzBy5Ej85z//qVNwRMaC03QGdHkfAAFo4QfYtTB0NETUxIn6Bjh16hQ+/vhj5Obmom/fvjWW79u3L/Ly8rBkyRKcOXOmzkESGRKn6QysfH1TB95NR0SGJypx2rp1K2QyGRYtWiS64cjISAiCgK+++kpycETGgNN0BlTyELh6sOw9p+mIyAiISpz+/PNPtG7dGgEBAaIb9vf3h5eXF/744w/JwREZA07TGdCNP4GSAsDWHWjRzdDREBGJS5yuXbsGX1/fWjfetWtXXLt2rdb1iIwFp+kMrHyarn0IIJMZNhYiIohMnPLz82Fra1vrxm1sbPiQX2rQOE1nQIIAXNpX9p7rm4jISIhKnBwcHJCRkVHrxjMyMmBvb1/rekTGgtN0BpR2Dsi5DZhZAd5PGzoaIiIAIhOntm3b4sSJEygpKRHdcHFxMU6cOIE2bdpIDo7IkDhNZ2Dlm162GQCYWRo2FiKiv4lKnAYNGoS8vDysWbNGdMNr1qxBbm4ugoODJQdHZEicpjMwzTYEvJuOiIyHqMRp+vTpMDMzw5w5c/DTTz/VWP7HH39EREQEzM3NMW3atDoHSWQInKYzoNw04E582XufEMPGQkT0CFHfBi1btsTChQtRXFyMf/3rXxg5ciT27NmD1NRUlJSUoKSkBKmpqdizZ4/mfElJCRYsWIBWrVrpuw9EOsdpOgMrXxTu4Q/Yuho2FiKiR4h+yO8777yDrKwsfPzxx/jxxx/x448/VlpOEAQAwFtvvYU5c+boJkqiesZpOgPTbEPAu+mIyLjUav5hyZIlOHDgAJ5++mnIZDIIgqD1kslkCAoKwv79+/Hxxx/rK2YiveM0nQGVFALXDpe95/omIjIyokecyg0aNAiDBg2CUqlEfHw87t27BwBo3rw5unfvDgcHB13HSFSvOE1nYNf+AEoLAbuWgGsXQ0dDRKSl1olTOXt7ewwYMECXsRAZBU7TGdilR+6m427hRGRkOAdB9BhO0xnQo7uFc30TERkhfisQPYLTdAZ2NwHIvQuYWQNe/P0TkfFpNInTmjVr4OXlBQsLCwQGBiI2NrbKsufPn8eoUaPg5eUFmUyGFStW1LlNahw4TWdgF//eLbzdQMDMwrCxEBFVolEkTjt27EB4eDjmz5+P+Ph4dOvWDSEhIVU+X6+goABt2rTBkiVL4ObmppM2qXHgNJ2BXeI2BERk3BrFN8Py5csxdepUhIWF4YknnsC6detgZWWFjRs3Vlq+V69e+OSTTzB27FgoFAqdtEkNH6fpDEyZCtw9A0AG+Dxj6GiIiCrV4BOn4uJixMXFaT0Tz8TEBMHBwYiJiTGaNsn4cZrOwMof6tuyF2DT3LCxEBFVQVTiNHnyZK2RlpSUFGRlZektqNrIzMyESqWCq6v2YxlcXV2RlpZWr20WFRUhJydH60UNB6fpDKw8ceKml0RkxER9O2zevBlHjx7VfPb29sbbb7+tt6AaqsjISNjb22tefE5fw8FpOgMrzi/b+BLg+iYiMmqiEie5XI6SkhLN5/JHrBgDZ2dnyOVypKenax1PT0+vcuG3vtqMiIiAUqnUvG7duiXp+lT/OE1nYNcOA6oiwMETcOlk6GiIiKokKnFycXFBQkKC0SRLjzI3N4e/vz+io6M1x9RqNaKjo9G7d+96bVOhUMDOzk7rRQ0Dp+kM7NGH+nK3cCIyYqIeuTJw4EB88803aNOmDby9vQEAUVFRGDhwYI11ZTKZVgKiD+Hh4QgNDUXPnj0REBCAFStWID8/H2FhYQCAiRMnwsPDA5GRkQDKFn8nJSVp3qempiIhIQE2NjZo166dqDap8eA0nYGp1f/bLZzrm4jIyIlKnJYuXYpLly7h5MmTuHnzJgAgLS1N1OJrWT389ThmzBjcu3cP8+bNQ1paGvz8/BAVFaVZ3J2SkgKTR0YR7ty5g+7du2s+f/rpp/j0008RFBSEw4cPi2qTGg9O0xnYndNAfgZgbgu0ZuJKRMZNJtRi/u3mzZu4efMm+vfvj8GDB+Pdd98VVS8oKEhygA1ZTk4O7O3toVQqOW1nxH5d9SkuHD2MHkOHY0DoVEOH0/Qc/Ag48gnwxAjghS2GjoaImqDafF+LGnEq17p1a7Ru3RoA4Obm1mQTImo8OE1nBMofs9KBd9MRkfGrVeJU7vr167CxsdF1LET1jtN0BpZ9C0g/B8hMuFs4ETUIkhKn8lGncoIg4P79+wAAJycnrfVERMaMd9MZWPmml60CASsnw8ZCRCRCnb4poqOjMXjwYNjY2MDV1RWurq6wtbXFkCFD9H4nHVFdcZrOCGi2IeDddETUMEhOnBYuXIhnnnkG+/fvR2FhoWZTzMLCQuzbtw/PPPMMPvroI13GSqRTnKYzsKJc4EbZiB/XNxFRQyEpcfr999+xYMECmJmZYebMmTh9+rTm2WwJCQl47bXXYG5ujvnz5+PgwYO6jplIJzhNZ2BXDwGqYsDRG3Bub+hoiIhEkfRt8dlnn0Emk+HHH3/EZ599hm7dusHGxgY2Njbo2rUrVq5ciR9//BEAsHLlSp0GTKQLnKYzApceuZuOu4UTUQMhKXE6ceIE+vTpg5CQkCrLPPPMM+jTpw9iYmIkB0ekL5ymMzC16n+7hXN9ExE1IJISp+zs7Ap31lWmdevWUCqVUi5BpFecpjOw1DigIBNQ2AOt+xg6GiIi0SR9Yzg7OyM5ObnGcsnJyXB2dpZyCSK94TSdESi/m84nGJCbGTYWIqJakJQ49e3bF6dPn8a3335bZZlvvvkG8fHx6NePX0xkXDhNZwTK1ze15910RNSwSNoA8+2338YPP/yAiRMnYs+ePQgNDYW3tzcA4Nq1a9i8eTP27NkDuVyOt956S6cBE9UVp+kM7MENICMJkMnLRpyIiBoQSYlTr169sHbtWsyYMQO7du3C999/r3VeEASYmppizZo16NWrl04CJdIFTtMZgfJn03n2BiwdDRsLEVEtSf5ze+rUqYiPj8fkyZPRpk0bKBQKKBQKtGnTBlOmTEF8fDymTuWT5sm4cJrOCFz6e31TB95NR0QNj6QRp3JdunTBl19+qatYiPSO03QG9jAHuPFX2XuubyKiBojfHNRkcJrOCFyNBtQlQLN2gHM7Q0dDRFRrTJyoyeA0nREoX9/ETS+JqIFi4kRNBqfpDEytAi7vL3vPh/oSUQPFbw9qEjhNZwRuxQKFWYCFA9DqSUNHQ0QkCRMnahI4TWcEyu+m8/kHIK/TfSlERAbDxImaBE7TGYHy9U2cpiOiBozfINTocZrOCNy/CmReBExMgXbcLZyIGi4mTtTocZrOCJQ/m651H8DC3rCxEBHVQZ0XGiQlJeHYsWO4d+8eOnfujOeeew4AoFarUVpaCnNz8zoHSVQXnKYzAhf/Xt/ETS+JqIGT/C1y69YtBAcHw9fXF9OmTcP777+PPXv2aM6vX78elpaWiI6O1kWcRJJwms4IFGYDKTFl7/mYFSJq4CQlTllZWQgKCsLBgwfRuXNnvPrqqxAEQavMCy+8ABMTE/z00086CZRICk7TGYErvwPqUsC5A+DUxtDREBHViaTEaenSpbhx4wbeeustnDlzBqtXr65QxtHREb6+vjh69GidgySSitN0RqB8fRNHm4ioEZD0TfLjjz/Cy8sLS5YsgUwmq7JcmzZtcOfOHcnBEdUFp+mMgKoUuHyg7D3XNxFRIyApcbp58yZ69OgBkxr+gjc3N0dWVpakwIjqitN0RuDWceBhNmDpBLQKMHQ0RER1JilxsrCwQG5ubo3lUlJSYG/PW4/JMDhNZwTK76bzeQYwkRs2FiIiHZD0bdKxY0fEx8cjPz+/yjKZmZk4c+YMunbtKjk4Iqk4TWckLnG3cCJqXCQlTs8//zzu37+P8PBwqNXqSsu8/fbbKCgowJgxY+oUIJEUN87Ec5rO0DIvA/evACZmQNuBho6GiEgnJG2AOWPGDGzZsgVffvkl4uLiMHLkSADA1atXsXz5cuzcuROxsbHw8/PDpEmTdBkvkSiXjpfdzclpOgMqn6bz6gdY2Bk2FiIiHZGUOFlYWGDfvn0YPXo0jh07htOnTwMAjh49iqNHj0IQBPTq1Qt79uyBmZmZTgMmqgmn6YwEp+mIqBGS/MiVFi1a4OjRo9i3bx9++eUXXLt2DWq1Gq1atcKQIUMwfPjwarcqINIXTtMZgYIsIOV42fv23L+JiBqPOj+rLiQkBCEhIbqIhUgnOE1nBK78DggqwOUJwLG1oaMhItIZfqtQo8JpOiOheagvR5uIqHFh4kSNCqfpjICqBLjy98O9ub6JiBoZSVN1crn4jexkMhlKS0ulXIao1jhNZwRuHgOKlICVM+Dhb+hoiIh0SlLiJAiCXsoS1QWn6YxE+d107UO4WzgRNTqS/iRXq9WVvlQqFa5du4bPPvsMjo6OmD9/fpUbZBLpGqfpjIAgABd/LXvPaToiaoTqfFfdo2QyGby8vDBz5kx06dIFwcHB6NKlC0aNGqXLyxBVitN0RuDeReDBDUBuDrQZYOhoiIh0Tm/fLv3790f37t2xfPlyfV2CSIPTdEbi0t9303k/DShsDBsLEZEe6PXP8jZt2uDcuXP6vAQRAE7TGY2L5eubuA0BETVOek2cLl++XG+Lw9esWQMvLy9YWFggMDAQsbGx1ZbfuXMnOnbsCAsLC/j6+uLXX3/VOj9p0iTIZDKt1+DB/DIwVpymMwL594Hbf///jokTETVSevmGKS0txaJFi5CQkIDu3bvr4xJaduzYgfDwcMyfPx/x8fHo1q0bQkJCkJGRUWn5Y8eOYdy4cZgyZQpOnz6NESNGYMSIEUhMTNQqN3jwYNy9e1fz2rZtm977QrXHaTojcXk/IKgBV1/AoZWhoyEi0gtJi8MHDhxY5bnc3Fxcu3YN2dnZMDExwXvvvSc5OLGWL1+OqVOnIiwsDACwbt06/PLLL9i4cSPmzJlTofzKlSsxePBgvP322wCADz/8EAcOHMDq1auxbt06TTmFQgE3Nze9x091w2k6I1G+vqkDR5uIqPGSlDgdPny4xjI+Pj5YsmSJ3qe3iouLERcXh4iICM0xExMTBAcHIyYmptI6MTExCA8P1zoWEhKCPXv2aB07fPgwXFxc4OjoiIEDB+Kjjz5Cs2bNdN4HqhtO0xmB0mLgysGy9+25DQERNV6SEqdDhw5Vec7c3BweHh7w9PSUHFRtZGZmQqVSwdXVVeu4q6srkpOTK62TlpZWafm0tDTN58GDB2PkyJHw9vbG1atX8d5772HIkCGIiYmpcuf0oqIiFBUVaT7n5ORI7RaJxGk6I3HzKFCcC9i4Au76n54nIjIUSYlTUFCQruMwOmPHjtW89/X1RdeuXdG2bVscPnwYgwYNqrROZGQkPvjgg/oKkcBpOqNRfjedzzMAR/2IqBFr8P+Fc3Z2hlwuR3p6utbx9PT0Ktcnubm51ao8ULa1grOzM65cuVJlmYiICCiVSs3r1q1btegJScFpOiMgCMDF8vVNnKYjosatwX/TmJubw9/fH9HR0ZpjarUa0dHR6N27d6V1evfurVUeAA4cOFBleQC4ffs27t+/jxYtWlRZRqFQwM7OTutF+sNpOiORkQQoUwBTC6BNf0NHQ0SkV6Km6qq7i64mMpmsQpKia+Hh4QgNDUXPnj0REBCAFStWID8/X3OX3cSJE+Hh4YHIyEgAwOzZsxEUFIRly5Zh2LBh2L59O06dOoUvvvgCAJCXl4cPPvgAo0aNgpubG65evYp33nkH7dq1Q0hIiF77QuJxms5IlI82eQcB5taGjYWISM9EJU5i7qKrikwmk1xXrDFjxuDevXuYN28e0tLS4Ofnh6ioKM0C8JSUFJg8Mo3Tp08ffPvtt3j//ffx3nvvwcfHB3v27EGXLl0AAHK5HGfPnsWWLVuQnZ0Nd3d3PPPMM/jwww+hUCj03h8Sh9N0RuLS3+ubuA0BETUBMkHE1t5//PFHnS7SFBaTVyYnJwf29vZQKpWcttOx0uJirH1lPIoLCzF24Sfw6NDJ0CE1TXn3gE99AAhA+AXAzt3QERER1Vptvq9FjTg11cSHjBen6YzE5X0ABKBFNyZNRNQkcH6DGiRO0xmJ8vVN3PSSiJoIfuNQg8O76YxEyUPg6t+b4XJ9ExE1EZI2wCx39+5d/Pjjj7h48SJycnJQ2XIpmUyGDRs21OUyRFo4TWckbhwFSvIB2xZACz9DR0NEVC8kJ06rVq3C22+/jZKSEs2x8sSp/E46QRCYOJHOcZrOSFz8texn+xCgHu6eJSIyBpK+daKjozF79mxYWFhgzpw5mo0jP//8c7z55pvw8vICALz++uvYuHGjzoIl4jSdkRAE4NK+svdc30RETYikxGnlypWQyWTYt28fFi1aBB8fHwDA1KlT8cknnyApKQmhoaHYuHEjnnrqKZ0GTE0bp+mMRNo5IOc2YGoJtOFdt0TUdEhKnGJjY9GjRw8EBgZWel6hUGDt2rWwsLDAwoUL6xQg0aM4TWckyje9bDsAMLM0bCxERPVI0jfPgwcP0LZtW81nMzMzAEBhYaHmmEKhwFNPPaX3x61Q08FpOiOi2YaAd9MRUdMiKXFycnJCfn6+5rOjoyOAskebPEqlUuH+/ft1CI/ofzhNZyRy04A78WXv2/PZjUTUtEhKnDw9PXHr1i3N5y5dukAQBOzdu1dzLC8vD3/++SdatmxZ9yiJwGk6o1G+KNy9B2DrZthYiIjqmaTtCIKCgvDf//4X6enpcHV1xbBhw2BtbY333nsPaWlp8PT0xJYtW5CVlYWxY8fqOmZqgjhNZ0Q0D/Xl3XRE1PRISpxGjx6N06dPIyEhASEhIXBycsLy5csxffp0LF++HEDZHk5eXl744IMPdBowNU2cpjMSJYX/2y2c65uIqAkSlTjt2rULI0aMgKlpWfFevXrhwIEDWmWmTp0Kf39/7Ny5E1lZWejUqRPCwsJgb2+v+6ipyeE0nZG4fgQoLQTsWgJuvoaOhoio3olKnF544QU0b94cEyZMQFhYGLp06VJpuR49eqBHjx46DZCI03RGhLuFE1ETJ+pP92bNmuHevXtYsWIFunXrhieffBLr169Hbm6uvuMj4jSdsXh0t3CubyKiJkpU4nT37l3s2rULgwcPhomJCWJjYzF9+nS0aNECkyZNwpEjR/QdJzVhnKYzEncTgNy7gJk14MUnAhBR0yTqW8jU1BQjR47EL7/8glu3bmHx4sXw8fFBQUEBvvrqKwwYMADt27fH0qVLcffuXX3HTE0Ip+mMyMVHdwu3MGwsREQGUus/393c3DBnzhwkJyfj6NGjCAsLg7W1Na5cuYL33nsPrVu3xnPPPYcff/wRKpVKHzFTE8JpOiNy6e/dwjlNR0RNWJ3mPfr06YMNGzYgLS0NGzZsQN++fVFaWoq9e/di5MiR8PDwwDvvvKOrWKkJ4jSdkci5A9w9A0AG+HC3cCJqunTyTWRlZYWwsDAcOXIEly9fRkREBJycnJCRkYFly5bp4hLUBHGazoiUb3rZsidg09ywsRARGZBO/4QvKipCbGwsYmNj8eDBA102TY3Q+czzmLJvCs5nnq/0PKfpjEj5+iZueklETZykncMfd+rUKWzcuBHbt2+HUqmEIAiQy+UYOnQopkyZootLUCP009WfEJsWi5+v/YzOzp0rnOc0nZEozgeu/1H2nuubiKiJk5w4ZWZmYuvWrdi0aRMSExMBlD1mpU2bNpg8eTImTZoEd3d3nQVKjcOdvDt4UPQAMsgQdaNsFOO367/hubbPQYAAR4Uj3G3cOU1nTK4dBkofAvaegMsTho6GiMigapU4qdVq/Pbbb9i4cSN++eUXlJSUQBAEWFhYYOTIkZgyZQoGDBigr1ipEQj5vuLC4qyHWRizd4zm87nQc5ymMyYXy++mG8zdwomoyROVOF26dAkbN27E119/jbS0NAiCAADw8/PDlClTMGHCBD6Tjmp0J+8OerfojZi7MVWW6efRD6czTuPO8T8BcJrO4NTq/+0WzvVNRETiEqdOnToBKJuKc3BwwIsvvogpU6age/fueg2OGodr2dewIXEDfr32K0qF0mrLHk09ipiUoxh73BNmkKG4rT1KVCUwk5vVU7Sk5c5pID8DMLcFvDhlSkQkKnESBAH9+/fHlClTMGrUKFhYcNdgqlliZiK+PPclDqYchICyUcpAt0D8w+sf+Oj4R5BBBgGC5me4fzguPriIy7ExMCuVId+iFG9d+RC2KSvwdKunEewZjD7ufWBlZmXgnjUh5ZtethsImCoMGwsRkREQlThduXIFbdq00Xcs1AgIgoDYtFh8ee5LHL97XHN8YKuBeNn3Zfg290VafhrWWqyFm7UbRvqMxA+Xf0BafhqGeA9BWJcw7D39MS7iCMw7eaCZ5UPcf3gfv1z7Bb9c+wUWcgv0ce+DQa0HIahlEOwVnCLWK802BLybjogIAGRC+YIl0rmcnBzY29tDqVTCzs7O0OHolVpQ4/Ctw/jy3Jc4l3kOACCXyTGszTBM7jIZbR3aapUvVhXDzMQMMpkMgiCgRF0Cc7k5SouLsfaV8SguLMTYhZ/Azac9zmaexe83f0d0SjRS81I1bZjKTNHTrSeCPYMx0HMgmltxY0adyr4FrOgCyEyAt64A1s0MHRERkV7U5vtaJ/s4UdNVoi5B1PUobDi3AVeVVwEACrkC/2r3L0zqMgkeNh6V1jOXm2vey2QyzefH76aTmZigu0t3dHfpjrd6voWLDy4iOiUav9/8HVeyr+D43eM4fvc4PjrxEbo174ZBnoMwyHMQPO089d/5xk6zW3gAkyYior8xcSJJHpY+xJ4re7D5/GbNKJCNmQ3GdhyL8Z3Gw9nSWVK71W16KZPJ0NGpIzo6dcQMvxm4mXMT0SnRiE6Jxtl7Z3Hm3hmcuXcGy+OWw8fRB8GewRjkOQjtHdtDxtvoa688cerAu+mIiMoxcaJayS3OxY6LO/B10tfIepgFAHCycMJLT7yEMR3GwNbcVnLbtd30srVda0zuMhmTu0xGen46Dt06hN9TfseptFO4/OAyLj+4jLVn1qKlTUsM8hyE4NbB6Nq8K0xk3N6gRkV5wPUjZe+5vomISIOJE4lyv/A+vrnwDbYnb0duSS4AoIV1C4R1CcO/2v0LFqZ1v9OyLpteulq7YmzHsRjbcSyURUocvnUY0SnROHbnGG7n3caWpC3YkrQFzpbOGNhqIAZ5DkIvt17c5qAqVw8CqmLA0Qtozg1IiYjKMXGiat3Ju4PN5zfjh8s/oEhVBABoY98GU3ynYIj3EJiZ6C7x0NWz6ewV9hjebjiGtxuOgpIC/HXnL/x+83ccuX0EmYWZ+O7Sd/ju0newNbdFUMugsm0OPPrA0tRSV11p+C49cjcdpzmJiDSYOFGlKtu0skuzLni568sY0GqAzqe79PVsOiszK/yj9T/wj9b/QImqBCfSTiA6JRoHUw4i62EW9l7bi73X9sJCboG+Hn0xyHMQnm75dNPe5kCt+t9u4VzfRESkRSeJ05UrV3Dv3j00a9YM7du310WTZCCVblrZIhAv+76MQLdAvS2yro9n05nJzdDPox/6efTD+4Hv48y9M/g95XccTDmI1LxUzUJzU5kpern1QnDrYAxoNaDpbXOQGgcUZAIKO8Czj6GjISIyKpKHDVQqFT766CO4ubmhQ4cO6NevH5YsWaI5/80336BPnz44f/68TgIl/REEASfunsDU/VMx7pdxiE6JhgABA1sNxLdDv8WXz3yJJ1s8qdc703Q1TSeW3ESOHq498E6vd/DbyN+w89mdmNZ1Gto5tEOpUIqYuzH48PiHGLRzEF769SVsTtyMWzm3KrRzPvM8puybgvOZDfvfuVY/yh/q2y4YMDWvviIRURMjacRJpVLhn//8J/bv3w9TU1N06tQJSUlJWmX69u2Ll156CT/88AM6d+6sk2BJt9SCGoduHcKGcxtEbVqpL/qaphPr0W0OZnafiRvKG5rpvLOZZ5FwLwEJ9xKwLG4Z2ju212y42d6xPX66+hNi02Lx87Wf0dm54f471+qHZhsC3k1HRPQ4SYnTunXrsG/fPgwcOBBfffUV3N3dYfLYKIGXlxfatm2L/fv3Y+7cuToJlnRD6qaV+lIf03S14WXvhSm+UzDFdwrS89Nx8NZBRN+Mxqn0U7j04BIuPbiE/zvzf3C1coWySAkA2Ht1L/ya+wEAbM1t4WLlYsAeiJNRkIHc4rI7JH+59gsA4Lere/Fc9mUICgs4tugCd0MGSERkhCQlTlu2bIGTkxN27twJR0fHKst16tQJZ86ckRwc6dbD0ofYfWU3Niduxp38OwB0s2llXdX3NF1tuFq7YlzHcRjXcRyyH2bj8O3DmPtX2R8C6QXpmnLKYiXePvK2ocLUmaxiJcZ4tCj78OsYLO63GF52XvCy96rTHl1ERI2FpMQpOTkZ/fr1qzZpAgB7e3tkZGRICox0R5+bVtaVoafpasPBwgEj2o2AqYkp3j/6PlSCqtJy1mbWUMgV9Rxd7RWpipBfkl9tmfeOvqd539yyObztveFl5wVve++y9/ZeaGHdgpuKElGTIXmNk0JR8xfD3bt3RZUj/bhfeB9bL2zF9uTtyCvJAwC4W7tjUpdJOtu0sq6MbZpOjH+2+Sfa2LfBmL1jKpzb8c8deKLZEwaISpqk+0mV9iPU+zkUmlngRs4NXFdex73Ce5pXbFqsVlkLuQVa27XWJFLedmVJVWu71rAys6qvrhAR1QtJiVPr1q1x9uzZasuUlJQgMTERPj4+kgIj6epz08q6MuZpOjFkkEGAoPnZUGn6IQgQZDIM7TxeKwHMLc7FzZybuK68rnndyLmBmzk38VD1EBcfXMTFBxcrtOtm7aZJpB5NrFysXPj8QCJqkCQlToMHD8bKlSvxxRdf4JVXXqm0zKpVq3Dv3j1Mnz69TgGKtWbNGnzyySdIS0tDt27dsGrVKgQEBFRZfufOnZg7dy5u3LgBHx8fLF26FEOHDtWcFwQB8+fPx/r165GdnY2+ffti7dq1Rp0IVrZppa+zL6b4TtHLppV11ZCm6R7nZOGEZhbNoC6xx93b3dCi5RmYmCnhZOFk6NBq5dF+9L37ANft05BmaVehH7bmtuji3AVdnLtoHS9Vl+JO3h1NIvVoYvWg6AHS8tOQlp+GmLsxWvWsTK0qjFB52XuhtV3rBjHNSURNl0wQhFr/mXz37l107twZOTk5mDlzJl544QX069cPo0ePxrvvvovvvvsOy5cvh6OjI86fPw9nZ/0uOt6xYwcmTpyIdevWITAwECtWrMDOnTtx8eJFuLhUvLvp2LFjePrppxEZGYl//vOf+Pbbb7F06VLEx8ejS5eyL4alS5ciMjISW7Zsgbe3N+bOnYtz584hKSkJFhbiprhycnJgb28PpVIJOzs7nfV318eLcDv+Elr2aI/n3/mPwTatrKsf5s3F9YunYWqmwKyvdjaYEafbDwqQlV+MgpKH+HH51+j8wBbnHXIRPHMcTE3M4WBlhhb2xv/4lrvKQmQXlKBUXYzo1d+iq9Iafey3IG/8+yht9TScrM3R0lH6VFv2w2ztZCrnOm4ob+BW7q0q14fJIIOHjcf/kip7b01i5WThVOO/5T1f7cS96AdoPsgRIyaOlhy7oTWGfjSGPgDsh7HRVz9q830tKXECgCNHjmDkyJHIysqq8B8zQRDg4OCAn376Cf366X8kITAwEL169cLq1asBAGq1Gq1atcJrr72GOXPmVCg/ZswY5OfnY+/evZpjTz75JPz8/LBu3ToIggB3d3e8+eabeOuttwAASqUSrq6u2Lx5M8aOHSsqLn0lTqvHT0FRaTrMTF1wNtQEJ+6e0Jwb5DkIL/u+XGFkwBitHDsapUIhzGXWeG37DkltqNUCikrVKCpV4WGJtJ9Fj/x8WNPPEhVyHpZqrr/41hk8sH0SjrkxeK+Vn45+M/Xv41vxuGfbF23yDuC1lk+i9O/BaEcrMyhM5bAwM9H6qXjkp0WVP02gMKtY11SuQnZJGu49vIX0wlu4U3ATqfkpuJlzXbMWrzK25rZaiVR5YtXKtpVm+nndlE+gMvOHvDQO079suHc5NoZ+NIY+AOyHsdFXP+olcQKA9PR0/Pe//8Wvv/6Ka9euaRKWIUOG4O2334aHh/73AyouLoaVlRV27dqFESNGaI6HhoYiOzsbP/74Y4U6np6eCA8Px+uvv645Nn/+fOzZswdnzpzBtWvX0LZtW5w+fRp+fn6aMkFBQfDz88PKlStFxabLxOnwzm9w/8ZNqAUBKXEnAZQCMMU9h1LIAFiYydDKvhlsZcY9zVH0IB+qIjUAIDM35++j5mjj6gwIAmBpCrjZoVQtQK1Wo1QloFQtoESlhkpd9l4lAKWPfK5vzvnFsCwt+2OhoPSfKDGzhVlJLqxMyxLxQlMB922Mf8ftZnmV9+OSSTIAAWlya5y2rt89vWTyfCgssmBukQUTxX3IzO9DMLkHlckDQFb5/9YeWY5wLmgOMxMb+KY+i1IzW5iW5OKa5zFAAErszFDa0vifPWh6WwmznBJABrRJ6dMg+9EY+gCwH8am8n7koMVAFQQBcGnlht5Bfet0jdp8X9fpWXWurq5YsmSJ1qNW6ltmZiZUKhVcXV21jru6uiI5ObnSOmlpaZWWT0tL05wvP1ZVmcoUFRWhqKhI8zknJ6fKsrUVt2tbJUdL0Ty7/L2AB/cy8UBnV6xPxbiWfkfzySInvNrS8r9fhlIMoLh8kPXvdfYlZrZQYlzZBxVgqzREZLVTVT+80QsA4A2gd/W7FeiBA5AjPVkrNSv/aQvPuyFlH9IAXKpzYPWqMfSjMfQBYD+MjaYfpra49WfZf8Buowi9g+ovBkmJ05EjR+Dm5lbjA30vX76Mu3fv4umnn5YUXEMTGRmJDz74QC9t2zl5IifrNgB1pedlcnfI5Mb/l4OgUkJQ3anirAnMrELqNR4iImqA/l4iJFOrYOZyHsDAeru0pMSpf//+CAsLw4YNG6ot9/HHH2Pjxo1QqSpfCKoLzs7OkMvlSE9P1zqenp4ONze3Suu4ublVW778Z3p6Olq0aKFV5tGpu8dFREQgPPx/oyU5OTlo1apVrfpTlalr/w/ffxqJGyf/qnDOq3tv/HPaLJ1cpz78tWELTp+MqnC8e69n0HfKRANEVHsXd/+KP2ObVzj+VMA9dPjX0EpqGKfG0o+oH37F7ZMV+9Gy1z0MHsl+1KfG0AeA/TA2VfYjKAfPjX+9XmORPFVXh6VROmVubg5/f39ER0dr1jip1WpER0dj5syZldbp3bs3oqOjtdY4HThwAL179wYAeHt7w83NDdHR0ZpEKScnBydOnMCrr75aZSwKhcIwG36amkDh2HAeh2FiXvndcybmDacfjg5/31kpqAGZieano4NFg+kD0Hj6IbP4+z9lj/VDZmHKftSzxtAHgP0wNlX1wxD0etUHDx6IvnW/LsLDw7F+/Xps2bIFFy5cwKuvvor8/HyEhYUBACZOnIiIiAhN+dmzZyMqKgrLli1DcnIyFixYgFOnTmkSLZlMhtdffx0fffQRfvrpJ5w7dw4TJ06Eu7u71gL0+ubm0w4yWEIuc4C1rTvkMgfIYAk3n3YGi0kKZ5+2kMESpjJHtLBrC1OZI2SwhLNPW0OHJppN61YwL1bC/uEt9GqWAPuHt2BerIRNa92MMNaXxtKPFt4tYVqshPnD25DbxMP84W2YFivRwruloUOrlcbQj8bQB4D9MDZG1Q9BpJs3b2peMplMGD16tNaxR19Xr14VfvrpJ8HW1lbw9fUVe4k6WbVqleDp6SmYm5sLAQEBwvHjxzXngoKChNDQUK3y3333ndC+fXvB3Nxc6Ny5s/DLL79onVer1cLcuXMFV1dXQaFQCIMGDRIuXrxYq5iUSqUAQFAqlZL79bh7qSlCcVGRIAiCUFxUJNxLTdFZ2/VJmZYmlBQXC4IgCCXFxYIyLc3AEdVesTJbUJWWCoIgCKrSUqFYmW3giKRpLP3IysoSSkpKBEEQhJKSEiErK8vAEUnTGPrRGPogCOyHsdFnP2rzfS16OwITExPNfk2CIIjaVFEQBCxZsgTvvPNOXXK7Bktf+zgRERGR7uhlOwJPT09NspSSkgIrK6sqdwQ3NzdHy5YtMWrUqGrXBBERERE1JKITpxs3bmjem5iYYPTo0di4caM+YiIiIiIySpLuqtu0aRPatWtYC5KJiIiI6kpS4hQaGqrrOIiIiIiMXsN4HD0RERGREZA04iSXi39SmEwmQ2lpac0FiYiIiIycpMRJ5A4GtS5LREREZMwkTdWp1epKXyqVCteuXcNnn30GR0dHzJ8/H2p15Q+lJSIiImpoJD+rrjIymQxeXl6YOXMmunTpguDgYHTp0gWjRo3S5WWIiIiIDEJvi8P79++P7t27Y/ny5fq6BBEREVG90utddW3atMG5c+f0eQkiIiKieqPXxOny5ctcHE5ERESNhl4Sp9LSUixatAgJCQno3r27Pi5BREREVO8kLQ4fOHBgledyc3Nx7do1ZGdnw8TEBO+9957k4IiIiIiMiaTE6fDhwzWW8fHxwZIlSzB48GAplyAiIiIyOpISp0OHDlV5ztzcHB4eHvD09JQcFBEREZExkpQ4BQUF6ToOIiIiIqPHh/wSERERicTEiYiIiEgkUVN11d1FVxOZTIbo6GjJ9YmIiIiMhajEScxddFWRyWSS6xIREREZE1GJU3V30RERERE1FaISJ95FR0RERMTF4URERESiSdrH6VHFxcWIi4tDamoqAMDDwwP+/v4wNzevc3BERERExkRy4lRaWooPPvgAq1atQm5urtY5W1tbzJo1C/PmzYOpaZ1zMyIiIiKjICmrUavVeO6557Bv3z4IggBHR0d4e3sDAK5fv44HDx5g0aJFiIuLw88//wwTE84IEhERUcMnKaP58ssvERUVhdatW2PXrl24f/8+Tp06hVOnTuH+/fv4/vvv0bp1a0RFRWHDhg26jpmIiIjIIGSCIAi1rdSvXz+cPn0a58+fh5eXV6Vlrl+/js6dO6NHjx44evRoXeNskHJycmBvbw+lUgk7OztDh0NERESVqM33taQRp8TERPTv37/KpAkAvL29MXDgQCQmJkq5BBEREZHRkZQ4FRUVwd7evsZytra2KCoqknIJIiIiIqMjKXFq1aoVYmJioFKpqiyjUqlw/PhxtGzZUnJwRERERMZEUuIUEhKClJQUzJ49GyUlJRXOFxcXY9asWUhJScGQIUPqHCQRERGRMZC0ODw1NRVdu3ZFdnY23N3dMXbsWM12BNeuXcOOHTtw584dODk5ISEhAR4eHjoPvCHg4nAiIiLjV5vva0mJEwCcPHkSo0ePRkpKCmQymdY5QRDg6emJXbt2oWfPnlKabxSYOBERERm/2nxfS97Wu1evXrh06RJ27tyJw4cPaz1ypX///hg9ejQfu0JERESNiuQRJ6oZR5yIiIiMn973cSIiIiJqiiQlTtnZ2Th79iwePHigdTw9PR1hYWHo3r07/vWvf+Hs2bM6CZKIiIjIGEhKnCIjI9G9e3dcv35dc6ykpAT9+vXDV199hTNnzuDHH3/EgAEDcOfOHZ0FS0RERGRIkhKnQ4cOoXXr1ujRo4fm2M6dO3H16lX07t0be/bswZQpU/DgwQP83//9n86CJSIiIjIkSYnTrVu34OPjo3Vs7969kMlk2LhxI5577jmsX78erVu3xi+//KKTQImIiIgMTVLilJWVhebNm2sdi4mJQZs2bdC+fXvNsR49euDWrVt1i5CIiIjISEhKnBQKBbKzszWf09LScPPmTfTr10+rnKWlJQoLC+sUIBEREZGxkJQ4tW/fHn/99RcKCgoAAD/88ANkMlmFxOnOnTtwcXGpe5TVyMrKwvjx42FnZwcHBwdMmTIFeXl51dZ5+PAhZsyYgWbNmsHGxgajRo1Cenq6VhmZTFbhtX37dn12hYiIiIycpMRpzJgxUCqVCAoKwhtvvIE5c+ZAoVDgueee05QpLS1FfHx8hbVQujZ+/HicP38eBw4cwN69e3HkyBG88sor1dZ544038PPPP2Pnzp34448/cOfOHYwcObJCuU2bNuHu3bua14gRI/TUCyIiImoIJD1yZfbs2di3bx8OHjyIuLg4yOVyrFixQmvd04EDB5CTk4OnnnpKZ8E+7sKFC4iKisLJkyc1z8RbtWoVhg4dik8//RTu7u4V6iiVSmzYsAHffvstBg4cCKAsQerUqROOHz+OJ598UlPWwcEBbm5ueoufiIiIGhZJI07m5uY4cOAA/vjjD3z33Xe4ePEiZsyYoVXGwsIC//3vfzFhwgSdBFqZmJgYODg4aD1IODg4GCYmJjhx4kSldeLi4lBSUoLg4GDNsY4dO8LT0xMxMTFaZWfMmAFnZ2cEBARg48aN4NNpiIiImjbJD/mVyWTVjiYNGDAAAwYMkNq8KGlpaRXWUJmamsLJyQlpaWlV1jE3N4eDg4PWcVdXV606CxcuxMCBA2FlZYX9+/fj3//+N/Ly8jBr1qwq4ykqKkJRUZHmc05OjoReERERkbGSnDg9ShAE3L9/H4IgoFmzZjAxqdsj8ObMmYOlS5dWW+bChQt1ukZN5s6dq3nfvXt35Ofn45NPPqk2cYqMjMQHH3yg17iIiIjIcOqU4Rw4cACDBw+Gra0tXF1d4ebmBltbWwwePBj79u2T3O6bb76JCxcuVPtq06YN3NzckJGRoVW3tLQUWVlZVa5NcnNzQ3FxsdZ2CkDZc/aqW88UGBiI27dva40oPS4iIgJKpVLz4h5WREREjYvkEae3334by5cvr7Dup7CwEPv378eBAwfw+uuvY9myZbVuu3nz5hU22KxM7969kZ2djbi4OPj7+wMADh48CLVajcDAwErr+Pv7w8zMDNHR0Rg1ahQA4OLFi0hJSUHv3r2rvFZCQgIcHR2hUCiqLKNQKKo9T0RERA2bpBGnrVu3YtmyZbCwsMCbb76Js2fPIjc3F7m5uTh37hzeeustWFpaYsWKFdi6dauuY9bo1KkTBg8ejKlTpyI2NhZ//fUXZs6cibFjx2ruqEtNTUXHjh0RGxsLALC3t8eUKVMQHh6OQ4cOIS4uDmFhYejdu7fmjrqff/4ZX375JRITE3HlyhWsXbsWixcvxmuvvaa3vhAREVEDIEgQEBAgmJqaCkeOHKmyzJ9//inI5XIhMDBQyiVEu3//vjBu3DjBxsZGsLOzE8LCwoTc3FzN+evXrwsAhEOHDmmOFRYWCv/+978FR0dHwcrKSvjXv/4l3L17V3P+t99+E/z8/AQbGxvB2tpa6Natm7Bu3TpBpVLVKjalUikAEJRKZZ37SURERPpRm+9rmSDU/h57a2trBAQE4NChQ9WWGzBgAE6ePFnjTt6NVU5ODuzt7aFUKmFnZ2focIiIiKgStfm+ljRVZ2FhUenmko9zd3eHubm5lEsQERERGR1JiZO/vz/Onj1bY7mzZ89qbU5JRERE1JBJSpz+85//4MKFC/j444+rLPPJJ5/gwoULeO+99yQHR0RERGRMRG1HcOTIEa3PMpkMM2fOREREBHbu3ImXXnoJ3t7eAIDr169j69atiIuLw6xZs+q8GSYRERGRsRC1ONzExAQymazC8fKqj5979LhMJkNpaakuYm1wuDiciIjI+NXm+1rUiNPTTz9daeJERERE1JSISpwOHz6s5zCIiIiIjB8XIBERERGJpLfE6f79+/jvf/8LX19ffV2CiIiIqF5JfshvZQRBQFRUFDZs2IC9e/eipKREl80TERERGZROEqfr169j48aN2Lx5M+7cuaO5q65Hjx6YOHGiLi5BREREZHCSE6eioiLs2rULGzZswJEjRyAIAgRBgEwmwzvvvIOJEyfiiSee0GWsRERERAZV68QpLi4OGzZswPbt26FUKiEIAkxNTTF06FCcPXsWN2/exJIlS/QRKxEREZFBiUqcHjx4gK1bt2LDhg04d+4cgLL1TB07dsTkyZMxceJEuLi44KmnnsLNmzf1GjARERGRoYhKnFq0aIGSkhIIggAbGxuMGTMGkydPRu/evfUdHxEREZHREJU4FRcXQyaToWXLlvj6668RFBSk77iIiIiIjI6ofZx8fX0hCAJu376NgQMHws/PD5999hnu37+v7/iIiIiIjIaoxOnMmTOIjY3FK6+8AltbW5w9exZvvPEGPDw8MGbMGOzbtw8inhVMRERE1KDJhFpmPIWFhfjuu++wYcMGHD16tKwRmQweHh4oLCxEVlYWVCqVXoJtaGrztGUiIiIyjNp8X9f6kSuWlpYIDQ3FkSNHcPHiRbzzzjtwdXXF7du3NVN3ffv2xRdffAGlUimtB0RERERGqNYjTpVRqVT45Zdf8OWXX+K3336DSqWCTCaDQqHAc889h+3bt+si1gaHI05ERETGrzbf1zpJnB6VlpaGTZs2YdOmTbhy5QpkMlmTnbpj4kRERGT89DpVVxM3NzdERETg0qVLOHToECZMmKDrSxAREREZhM5HnOh/OOJERERk/Aw64kRERETUWDFxIiIiIhKJiRMRERGRSEyciIiIiERi4kREREQkEhMnIiIiIpGYOBERERGJxMSJiIiISCQmTkREREQiMXEiIiIiEomJExEREZFITJyIiIiIRGLiRERERCQSEyciIiIikZg4EREREYnExImIiIhIJCZORERERCIxcSIiIiISiYkTERERkUhMnIiIiIhEavCJU1ZWFsaPHw87Ozs4ODhgypQpyMvLq7bOF198gf79+8POzg4ymQzZ2dk6aZeIiIgatwafOI0fPx7nz5/HgQMHsHfvXhw5cgSvvPJKtXUKCgowePBgvPfeezptl4iIiBo3mSAIgqGDkOrChQt44okncPLkSfTs2RMAEBUVhaFDh+L27dtwd3evtv7hw4cxYMAAPHjwAA4ODjprt1xOTg7s7e2hVCphZ2cnrZNERESkV7X5vm7QI04xMTFwcHDQJDcAEBwcDBMTE5w4ccLo2iUiIqKGzdTQAdRFWloaXFxctI6ZmprCyckJaWlp9d5uUVERioqKNJ9zcnIkx0BERETGxyhHnObMmQOZTFbtKzk52dBhVhAZGQl7e3vNq1WrVoYOiYiIiHTIKEec3nzzTUyaNKnaMm3atIGbmxsyMjK0jpeWliIrKwtubm6Sry+13YiICISHh2s+5+TkMHkiIiJqRIwycWrevDmaN29eY7nevXsjOzsbcXFx8Pf3BwAcPHgQarUagYGBkq8vtV2FQgGFQiH5ukRERGTcjHKqTqxOnTph8ODBmDp1KmJjY/HXX39h5syZGDt2rObOt9TUVHTs2BGxsbGaemlpaUhISMCVK1cAAOfOnUNCQgKysrJEt0tERERNT4NOnADgm2++QceOHTFo0CAMHToU/fr1wxdffKE5X1JSgosXL6KgoEBzbN26dejevTumTp0KAHj66afRvXt3/PTTT6LbJSIioqanQe/jZOy4jxMREZHxazL7OBERERHVJyZORERERCIxcSIiIiISiYkTERERkUhMnIiIiIhEYuJEREREJBITJyIiIiKRmDgRERERicTEiYiIiEgkJk5EREREIjFxIiIiIhKJiRMRERGRSEyciIiIiERi4kREREQkEhMnIiIiIpGYOBERERGJxMSJiIiISCQmTkREREQiMXEiIiIiEomJExEREZFITJyIiIiIRGLiRERERCQSEyciIiIikZg4EREREYnExImIiIhIJCZORERERCIxcSIiIiISiYkTERERkUhMnIiIiIhEYuJEREREJBITJyIiIiKRmDgRERERicTEiYiIiEgkJk5EREREIjFxIiIiIhKJiRMRERGRSEyciIiIiERi4kREREQkEhMnIiIiIpGYOBERERGJxMSJiIiISCQmTkREREQiMXEiIiIiEomJExEREZFIDT5xysrKwvjx42FnZwcHBwdMmTIFeXl51db54osv0L9/f9jZ2UEmkyE7O7tCGS8vL8hkMq3XkiVL9NQLIiIiaggafOI0fvx4nD9/HgcOHMDevXtx5MgRvPLKK9XWKSgowODBg/Hee+9VW27hwoW4e/eu5vXaa6/pMnQiIiJqYEwNHUBdXLhwAVFRUTh58iR69uwJAFi1ahWGDh2KTz/9FO7u7pXWe/311wEAhw8frrZ9W1tbuLm56TJkIiIiasAa9IhTTEwMHBwcNEkTAAQHB8PExAQnTpyoc/tLlixBs2bN0L17d3zyyScoLS2tc5tERETUcDXoEae0tDS4uLhoHTM1NYWTkxPS0tLq1PasWbPQo0cPODk54dixY4iIiMDdu3exfPnyKusUFRWhqKhI81mpVAIAcnJy6hQLERER6U/597QgCDWWNcrEac6cOVi6dGm1ZS5cuKDXGMLDwzXvu3btCnNzc0ybNg2RkZFQKBSV1omMjMQHH3xQ4XirVq30FicRERHpRm5uLuzt7astY5SJ05tvvolJkyZVW6ZNmzZwc3NDRkaG1vHS0lJkZWXpfG1SYGAgSktLcePGDXTo0KHSMhEREVoJl1qtRlZWFpo1awaZTKazWHJyctCqVSvcunULdnZ2OmvXWLB/DRv717Cxfw0b+yeNIAjIzc2tcm30o4wycWrevDmaN29eY7nevXsjOzsbcXFx8Pf3BwAcPHgQarUagYGBOo0pISEBJiYmFaYGH6VQKCqMRjk4OOg0jkfZ2dk1yv9jlGP/Gjb2r2Fj/xo29q/2ahppKmeUiZNYnTp1wuDBgzF16lSsW7cOJSUlmDlzJsaOHavJGlNTUzFo0CB89dVXCAgIAFC2NiotLQ1XrlwBAJw7dw62trbw9PSEk5MTYmJicOLECQwYMAC2traIiYnBG2+8gQkTJsDR0dFg/SUiIiLDatB31QHAN998g44dO2LQoEEYOnQo+vXrhy+++EJzvqSkBBcvXkRBQYHm2Lp169C9e3dMnToVAPD000+je/fu+OmnnwCUjRxt374dQUFB6Ny5MxYtWoQ33nhDq10iIiJqehr0iBMAODk54dtvv63yvJeXV4VV8gsWLMCCBQuqrNOjRw8cP35cVyHqnEKhwPz586tcpN7QsX8NG/vXsLF/DRv7p38yQcy9d0RERETU8KfqiIiIiOoLEyciIiIikZg4EREREYnExKmBW7RoEfr06QMrKyu97hlVX9asWQMvLy9YWFggMDAQsbGxhg5JZ44cOYJnn30W7u7ukMlk2LNnj6FD0qnIyEj06tULtra2cHFxwYgRI3Dx4kVDh6Uza9euRdeuXTX7x/Tu3Ru//fabocPSiyVLlkAmk2keiN7QLViwADKZTOvVsWNHQ4elU6mpqZgwYQKaNWsGS0tL+Pr64tSpU4YOSye8vLwq/O8nk8kwY8YMg8TDxKmBKy4uxujRo/Hqq68aOpQ627FjB8LDwzF//nzEx8ejW7duCAkJqbA7fEOVn5+Pbt26Yc2aNYYORS/++OMPzJgxA8ePH8eBAwdQUlKCZ555Bvn5+YYOTSdatmyJJUuWIC4uDqdOncLAgQMxfPhwnD9/3tCh6dTJkyfx+eefo2vXroYORac6d+6Mu3fval5Hjx41dEg68+DBA/Tt2xdmZmb47bffkJSUhGXLljWafQdPnjyp9b/dgQMHAACjR482TEACNQqbNm0S7O3tDR1GnQQEBAgzZszQfFapVIK7u7sQGRlpwKj0A4Cwe/duQ4ehVxkZGQIA4Y8//jB0KHrj6OgofPnll4YOQ2dyc3MFHx8f4cCBA0JQUJAwe/ZsQ4ekE/Pnzxe6detm6DD05t133xX69etn6DDqzezZs4W2bdsKarXaINfniBMZheLiYsTFxSE4OFhzzMTEBMHBwYiJiTFgZCSVUqkEULbXWmOjUqmwfft25Ofno3fv3oYOR2dmzJiBYcOGaf3/sLG4fPky3N3d0aZNG4wfPx4pKSmGDklnfvrpJ/Ts2ROjR4+Gi4sLunfvjvXr1xs6LL0oLi7G1q1bMXnyZJ0+A7Y2mDiRUcjMzIRKpYKrq6vWcVdXV6SlpRkoKpJKrVbj9ddfR9++fdGlSxdDh6Mz586dg42NDRQKBaZPn47du3fjiSeeMHRYOrF9+3bEx8cjMjLS0KHoXGBgIDZv3oyoqCisXbsW169fx1NPPYXc3FxDh6YT165dw9q1a+Hj44N9+/bh1VdfxaxZs7BlyxZDh6Zze/bsQXZ2NiZNmmSwGBr8zuGN0Zw5c7B06dJqy1y4cKHRLW6kxmPGjBlITExsVOtIAKBDhw5ISEiAUqnErl27EBoaij/++KPBJ0+3bt3C7NmzceDAAVhYWBg6HJ0bMmSI5n3Xrl0RGBiI1q1b47vvvsOUKVMMGJluqNVq9OzZE4sXLwYAdO/eHYmJiVi3bh1CQ0MNHJ1ubdiwAUOGDNE8j9YQmDgZoTfffLPGbLpNmzb1E0w9cXZ2hlwuR3p6utbx9PR0uLm5GSgqkmLmzJnYu3cvjhw5gpYtWxo6HJ0yNzdHu3btAAD+/v44efIkVq5cic8//9zAkdVNXFwcMjIy0KNHD80xlUqFI0eOYPXq1SgqKoJcLjdghLrl4OCA9u3bax703tC1aNGiQvLeqVMnfP/99waKSD9u3ryJ33//HT/88INB42DiZISaN2+O5s2bGzqMemVubg5/f39ER0djxIgRAMr+ioqOjsbMmTMNGxyJIggCXnvtNezevRuHDx+Gt7e3oUPSO7VajaKiIkOHUWeDBg3CuXPntI6FhYWhY8eOePfddxtV0gQAeXl5uHr1Kl566SVDh6ITffv2rbD1x6X/b+/+Y6Ku/ziAP09+HT8uOPBwxLpDokiUGYTUzFKuzIwpKuGvttCaheLVQraGrZm1dDlLjBqTrdHS4ZzXjhIp7A8xlxGgxxr2g8wDx49KuetGIKbw/v7B7hP3vTv6kIefiOdjY47P+8e9PmNzT96f9+dNWxsMBoNCFU2MyspKxMbGIjs7W9E6GJwmuUuXLsFut+PSpUsYGhpCS0sLACApKQkRERHKFjdORUVFyM/PR0ZGBjIzM1FaWor+/n5s3LhR6dL84o8//nD7Dddms6GlpQXR0dHQ6/UKVuYfhYWFqKqqwieffAKNRiPtTYuMjERoaKjC1d28kpISLF26FHq9Hn19faiqqkJ9fT3q6uqULu2maTQaj71o4eHhiImJ+U/sUSsuLsayZctgMBjQ3d2NHTt2ICAgAOvWrVO6NL946aWXMH/+fOzatQurV69GY2MjKioqUFFRoXRpfjM8PIzKykrk5+cjMFDh6KLIu3zkN/n5+QKAx9fJkyeVLu0fKSsrE3q9XgQHB4vMzEzR0NCgdEl+c/LkSa8/q/z8fKVL8wtv9wZAVFZWKl2aXzzzzDPCYDCI4OBgodPpxCOPPCJOnDihdFkT5r90HMGaNWtEXFycCA4OFvHx8WLNmjXiwoULSpflV8eOHRNz5swRISEh4p577hEVFRVKl+RXdXV1AoD48ccflS5FqIQQ4panNSIiIqJJiMcREBEREcnE4EREREQkE4MTERERkUwMTkREREQyMTgRERERycTgRERERCQTgxMRERGRTAxORERERDIxOBERERHJxOBEREREJBODExH9qyUkJEClUqG9vV3pUiaE1WpFQEAATCaTX+ZzOp2IiYnB/fffD/5FLSL/Y3AiIlKQyWRCaGgoXn31Vb/MFxkZiZKSEjQ2NuKjjz7yy5xE9BcGJyIihZjNZnz11VfYsmULYmNj/Tbv1q1bodPpUFJSgmvXrvltXiJicCIiUsy+ffsAAM8++6xf51Wr1Vi/fj16enpw5MgRv85NNNUxOBHRpNXZ2QmTyYS77roLarUakZGRePDBB3HgwAEMDQ15HdPa2orc3FxMnz4dYWFhSE1NRWlpKYaHh2/pfiqr1YozZ87ggQceQHJy8ph9f/rpJzz33HMwGAxQq9VISkrCzp07cf36dQDAqlWroFar0dHRIY3ZsGEDAOD999+fsHsgmooClS6AiOifaGpqwuOPPw673Q69Xo8VK1bA6XSivr4eZ86cgcViwaefforg4GBpzKlTp7B06VJcvXoVd955JxYvXoze3l68/PLLaGhouKX1V1dXAwAeffTRMft98MEH2Lp1K27cuIGsrCykpaXhxIkTeO211xAeHg6j0QiLxYIXX3wRBoNBGnfvvfdCp9OhsbERPT09iIuLm8jbIZo6BBHRv5jBYBAAhM1mk64NDg5K1wsKCsSff/4ptf38888iISFBABDbt2+Xrg8MDIj4+HgBQGzbtk0MDQ1JbefPnxczZswQADw+a6IsWLBAABDHjx/32cdsNguVSiWioqJEc3OzdL2urk4AEAsWLBDZ2dlCo9GI3377zWP88uXLBQBx8ODBCbkHoqmIj+qIaNI5evQoOjo6cPvtt6O0tBRBQUFSW2JiIvbu3QsAKCsrw+DgIICRjdhdXV0wGAzYvXs3pk3767+/lJSUMd9qu3DhAgoKCpCeno6goCAkJCSM2feJJ55AREQEpk+fji1btqC/v9+jn9VqBQDMmjXL6zzXrl2DyWSCEALvvPMO7rvvPqntscceQ1hYGJqbm3H8+HEUFRVBp9N5zDF79mwAwLlz53zWS0Tjw+BERJNOfX09AGDt2rUICQnxaF+1ahW0Wi36+vpw9uxZACOP6QAgLy/PLWi5PPXUUz4/7/z586ipqUFCQgLmzJnjs5/T6YTRaITdbsfRo0exf/9+fPzxx3j66afd+vX390thKiYmxutcFosFPT09SElJwcaNGz3atVotBgcHodPpsG3bNq9zuOb+9ddffdZMROPDPU5EpJji4mJcuXLF4/qHH3445riuri4AwMyZM722q1QqzJw5Ew6HQ+rb2dkJAD5Xi6KiohAZGQmn0+nRtmzZMuTk5AAACgoK8Pnnn3ud48CBA7h8+TKam5ul4wVCQ0ORm5uLs2fPSqtGoz9Do9F4nau2thYA8OSTT3ptd9m+fbvPOW677TYAgMPhGHMOIpKPwYmIFGM2m93eBHP5u+B0M1Qq1bjbRj/WG0ttbS2MRqPbmUzLly9HREQEampqpOAUFRUltff19UkBZ7SmpiYAwMKFCz3arl+/joGBAeh0OmzevNlnPa6AptVqZdVPRH+Pj+qISDHt7e0QQnh8/Z34+HgAwMWLF332sdlsbn1d//o6asDpdOL3338fR/WevvvuO489S4GBgbj77rvx/fffS9fCwsIQHh4OAOjt7fU6lytQuuoebd++fXA4HIiNjfX6qNLFNfeMGTPGdyNE5BODExFNOosWLQIAHDlyRNr8PZrFYoHD4YBGo5FWeR5++GEAIxvLb9y44TGmqqrqputyOBxuq0kuWq0Wdrvd7Vp6ejqAkbDljWuV6//DnM1mwxtvvAEACAgIGLOe1tZWAHDbWE5EN4fBiYgmnby8POj1enR3d6OoqMgtCNlsNmmztMlkglqtlsbExcWhvb0dr7zyCoaHh6UxP/zwA15//fVbeg9ZWVkAgK+//tpre2pqKoCRAyxdq3C9vb3Izc1Ff38/goKC0NnZiatXr/r8DNfcRqPRn6UTTWkMTkQ06YSEhMBsNiM6Ohrl5eVISkrC2rVrkZ2djZSUFNhsNixZsgQ7duyQxoSFheHQoUNQq9XYs2cPkpOTsW7dOixZsgRz587FQw89BL1eDwBuh2aOh1ar9fq4z+FwIDo62u3aihUrAABffPGF17lc4e/gwYNIT0/H6tWrkZycDKvVij179iAjIwN2ux2LFi3Cu+++6zHearWit7cXmZmZPPySyI8YnIhoUpo3bx5aWlpQWFiIgIAAWCwWnD59GmlpaSgvL0dNTY1HADIajfjmm2+wcuVK2O12VFdXo7OzE2+++SYOHTqEX375BdOmTfMIOXLNmjXLbS8TAAwNDaGtrc1j71NaWhrmz5+PxsZGjzHAyNt0hw8fxrx589DW1oZjx44hNjYWhw8fRnFxMcrLyzF37lw0NTWhu7vbY7xrg31hYeE/uhci8k4l5OzEJCL6j/vyyy+xcOFCpKam4ttvv/XZz3UcgbdN5m+99RZ27tyJjo4O6UDK6upqrFy5Ek1NTcjIyHDrbzabkZeXh6KiIrz99tt+u5fBwUHccccdCAoKgs1mG3MDORGND1eciGjKuHz5svS23Witra3YtGkTAHg9bHJgYABmsxlmsxkXL150+370cQrPP/88oqOjkZOTg88++wxVVVUoKChATk6OR2gCRlaVXH+U2J+HVJaVleHKlSvYvXs3QxORn3HFiYimjPr6emRlZSElJQWJiYkIDQ2FzWbDuXPnMDw8jMWLF6O2thaBge5H3LW3t/s8bLOyshIbNmyQvm9ra8MLL7yA06dPQ61WIy8vD3v37kVERITX8VarFRkZGdi8eTPee++9m75Hp9OJxMREJCUloaGhYcxzq4ho/BiciGjK6O7uxq5du3Dq1Cl0dXWhr68PGo0Gs2fPxvr167Fp0yaP0ERENBqDExEREZFM3ONEREREJBODExEREZFMDE5EREREMjE4EREREcnE4EREREQkE4MTERERkUwMTkREREQyMTgRERERycTgRERERCQTgxMRERGRTAxORERERDL9D2ma8v8q3JUgAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 600x600 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 600x600 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "analysis.sweep_among_best_L_modes(L=6, ALPHA_RANGE=np.logspace(-7,1,10), save_figure=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above plot tells me 1) I just need 2 Koopman modes, I can reconstruct my validation data very well 2) I should select $\\alpha \\approx -5$, which corresponds to the index = 6 3) That is to say, the latent dimension is very likely to be 2. Of course.. we know it is a 2D linear system"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's get a pruned model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# you need to decide which alpha to choose, from the table above.\n",
    "# and you need to feed training data (well, you could include validation \n",
    "# but here I choose to only use training data) into to the command...\n",
    "pruned_model = analysis.prune_model(i_alpha=6, x_train=X.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test the performance of such reduced model on an unseen trajectory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# prepare testing data\n",
    "n_int_val = 20\n",
    "n_traj_val = 1\n",
    "xval = np.array([[-1.6], [-0.5]])\n",
    "xval_list = []\n",
    "for i in range(n_int_val):\n",
    "    xval_list.append(xval)\n",
    "    xval = sys.linear_map(xval)\n",
    "Xval4 = np.hstack(xval_list).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.legend.Legend at 0x18481104be0>"
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 400x400 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# run simulation on the testing data\n",
    "x_ = Xval4[0:1,:]\n",
    "Xval4_pred = []\n",
    "for i in range(Xval4.shape[0]):\n",
    "    Xval4_pred.append(x_)\n",
    "    x_ = pruned_model.predict(x_)\n",
    "Xval4_pred = np.vstack(Xval4_pred)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(4,4))\n",
    "plt.plot(Xval4[:,0],Xval4[:,1],'k^-',alpha=1,label='test trajectory',lw=3)\n",
    "plt.plot(Xval4_pred[:,0],Xval4_pred[:,1],'ro--',alpha=0.8,label='pruned model prediction')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend(loc='best')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check pruned system methods and matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "(2, 2)"
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# the number of Koopman modes should be only 2 modes\n",
    "\n",
    "pruned_model.W.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "(2, 20)"
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# compute the eigenfunction along validation trajectory Xval4, there are 2 modes after truncation with 20 snapshots\n",
    "\n",
    "pruned_model.psi(x_col=Xval4.T).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "array([[0.7+0.j, 0. +0.j],\n       [0. +0.j, 0.8+0.j]])"
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pruned_model.lamda"
   ]
  }
 ],
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